1 Consider a ring, sphere and Solidey clinder all with the same mass. They are all held at the top of the inclined Plane which is at 20° to the horizontal. the top of the inclined Plane is 1m high. The shapes are released simultaneously and allowed to roll down the inclined plane. Assume the abjects roll with out slipping and that they are all made from the same material. Assume the coefficient of static friction bin the objects and the plane is 0.3.
A) which shapes have the greater moment of inertia ?
B) workout what order they would get to the bottom of the Slope!
C ) determine the linear acceleration(a)
D) calculate the tangential (linear) Veloci ty of each shapes
E) How long will it take each shape to reach the bottom of the Slope ?
I give you 100 coin please help me


-​

Answers

Answer 1
A) The solid cylinder has the greatest moment of inertia, followed by the ring, and then the sphere.

B) The solid cylinder will reach the bottom of the slope first, followed by the sphere, and then the ring.

C) The linear acceleration of the objects can be calculated using the following formula:

a = g * sin(θ) / (1 + I / mr^2)

where g is the acceleration due to gravity, θ is the angle of the incline, I is the moment of inertia, m is the mass, and r is the radius of the object.

Plugging in the numbers, we get:

a_ring = 9.8 m/s^2 * sin(20°) / (1 + 0.5 / 1^2) = 1.09 m/s^2
a_sphere = 9.8 m/s^2 * sin(20°) / (1 + 2 / 1^2) = 0.84 m/s^2
a_cylinder = 9.8 m/s^2 * sin(20°) / (1 + 0.5 / 0.5^2) = 1.47 m/s^2

Therefore, the linear accelerations are a_ring = 1.09 m/s^2, a_sphere = 0.84 m/s^2, and a_cylinder = 1.47 m/s^2.

D) The tangential velocity of each object can be calculated using the following formula:

v = a * r

where a is the linear acceleration, and r is the radius of the object.

Plugging in the numbers, we get:

v_ring = 1.09 m/s^2 * 0.5 m = 0.55 m/s
v_sphere = 0.84 m/s^2 * 1 m = 0.84 m/s
v_cylinder = 1.47 m/s^2 * 0.5 m = 0.74 m/s

Therefore, the tangential velocities are v_ring = 0.55 m/s, v_sphere = 0.84 m/s, and v_cylinder = 0.74 m/s.

E) The time it takes for each object to reach the bottom of the slope can be calculated using the following formula:

t = sqrt(2 * d / a)

where d is the distance traveled, and a is the linear acceleration.

Plugging in the numbers


A) The solid cylinder has the greatest moment of inertia.
B) The order in which the objects would reach the bottom of the slope is: sphere, cylinder, and ring.
C) The linear acceleration of each object is the same and is equal to 0.98 m/s^2.
D) The tangential velocity of the sphere, cylinder, and ring are 2.78 m/s, 3.53 m/s, and 4.24 m/s, respectively.
E) The time it takes for each object to reach the bottom of the slope can be calculated using the following formula:

time = square root(2h / g)

where h is the height of the slope (1m) and g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the numbers, we get:

time for sphere = 0.45 s
time for cylinder = 0.51 s
time for ring = 0.57 s

Therefore, the sphere would reach the bottom first, followed by the cylinder, and then the ring.


Related Questions

During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1,300 m/s. Some of the sound waves are reflected from a metal fragment 5.0 cm into the muscle tissue. How long did it take the transducer to detect the reflected waves from the metal fragment after they were first emitted?

0.26 seconds
39 seconds
4.6 E−5 seconds
7.7E−5 seconds

Answers

To calculate the time it took for the reflected waves to be detected, we can use the formula:

time = distance / speed

where distance is the round-trip distance traveled by the sound waves (i.e., twice the distance from the transducer to the metal fragment) and speed is the speed of sound in muscle tissue.

The round-trip distance traveled by the sound waves is:

2 * 5.0 cm = 10.0 cm = 0.1 m

The speed of sound in muscle tissue is given as 1,300 m/s.

Therefore, the time it took for the reflected waves to be detected is:

time = distance / speed = 0.1 m / 1,300 m/s = 7.7E−5 seconds

So the answer is 7.7E−5 seconds (option D).
Answer:

(d) 7.7E−5 seconds

To calculate the time it takes for the reflected waves to return to the transducer, we can use the formula:

time = distance / speed

The distance the sound waves travel is twice the depth of the metal fragment, since they have to travel to the fragment and then back to the transducer. Therefore, the distance traveled by the sound waves is:

distance = 2 x 5.0 cm = 0.1 m

The speed of the sound waves in muscle tissue is 1,300 m/s. Therefore, the time taken for the waves to travel this distance is:

time = distance / speed = 0.1 m / 1,300 m/s = 7.7E−5 seconds

Therefore, the transducer takes 7.7E−5 seconds to detect the reflected waves from the metal fragment after they were first emitted.

The correct answer is (d) 7.7E−5 seconds.

The current-potential difference graph for a resistor is a straight line as long as the is constant. What is the missing word?​

Answers

Answer:

Potential Difference = Voltage =  Resistance * Current

As long the resistance is a constant the PD will be a straight line when plotted against the current.

describe what the weather would be like as a warm front passes, then describe what would occur as a cold front passes.

Answers

The air becomes humid during warm front passes and a cold front means a transition where warm air is being replaced by the cold air.What do you mean by weather?

The weather means the atmosphere at a particular place and time with respect to temperature, pressure, cloudiness, wind, etc.

A warm front means when the air is very warm and humid as compared to before.

A cold front is when the air is very colder and drier than the air above it. More than 15 degrees temperature can drop down when a cold front passes.

A cold front will probably bring winds, thunderstorms, and rain.Therefore, the cold front moves faster than the warm front.Learn more about the Weather here:

brainly.com/question/14426457

what are the disadvantages of moving with the speed of light or even faster​

Answers

For mass-containing things, it is impossible to move at or faster than the speed of light. Potential drawbacks include length contraction, time dilation, mass gain, gravitational effects, and high energy demands.

Why is travelling at the speed of light problematic?

If an object could ever move at the speed of light, its mass would become infinite. The required energy would therefore have to be infinite, which is not possible.

What are the drawbacks of speed?

The risk to other road users increases as you drive faster. Overspeeding cars put pedestrians in a very dangerous situation. Driving too quickly uses more fuel. After the speed reached a certain point, fuel usage skyrocketed.

To know more about gravitational visit:-

https://brainly.com/question/3009841

#SPJ1

What evidence supports the idea that the universe is expanding in all
directions?
O A. Cosmic background radiation
OB. Nuclear fusion in stars
O C. Nucleosynthesis
D. Redshift

Answers

Answer:

D. red shift

Explaination: if the spectral lines of galaxy are shifted towards the red end of spectrum (red shift) it means the galaxy is going away from earth!

HELP!!! You have two substances, both of which have the same boiling point (or attraction between their molecules).
The first substance is made from molecules that are small (just a few atoms bonded together), and the second substance is made from mol that are larger (many atoms bonded together).
How can it be possible for two such different molecules to yield substances with the same boiling point? Describe the kinds of intermolecu attractions that must be involved and any other properties of the molecules that could cause this result.

Answers

The boiling point of a substance depends on the strength of the intermolecular forces between its molecules. In the case of the two substances you mentioned, even though they have different molecular sizes, they can still have the same boiling point if they have similar intermolecular attractions.

What is the  boiling point about?

For example, the smaller molecule may have a higher polarity due to the presence of polar bonds, which can result in dipole-dipole interactions between molecules. The larger molecule may have a similar dipole moment even though it has more atoms, or it may have a polar functional group that contributes to its intermolecular interactions.

In addition to dipole-dipole interactions, the molecules may also have London dispersion forces, which are present in all molecules due to the random fluctuations in electron density. These forces are proportional to the size of the molecule, so the larger molecule may have a stronger dispersion force even if it is less polar than the smaller molecule.

Therefore,, it is possible for two different molecules to have the same boiling point if they have similar intermolecular attractions, such as dipole-dipole interactions and London dispersion forces. The size of the molecule may also play a role in determining the strength of these forces, but it is not the only factor.

Learn more about boiling point from

https://brainly.com/question/40140

#SPJ1

please help PLEASE NOW

Journal prompt to be answered in 2 fully developed paragraphs

Prompt: What are some products (or programs) that you could purchase to help your performance in your current physical activity? How would the product (or program help)? Do you really think it is effective? Use specific examples from your experience.

Answers

You could purchase a fitness tracker to help your performance in your current physical activity.

Fitness tracker would help you in the area of goal setting.

Fitness trackers are effective because they have helped my friends to improve workout routine.

What are some products and programs that do help to physical activity?

Wearable fitness trackers can monitor data like heart rate, number of steps taken, distance traveled, and number of calories burned.

Supplements including protein powders, creatine, and beta-alanine can enhance recovery, muscular growth, and endurance.

Working with a coach or personal trainer can help you attain your fitness objectives by offering personalized training regimens, comments on form and technique, and accountability.

Learn more about physical activity:https://brainly.com/question/14338730

#SPJ1

5. A child wanting to make a cordial ice block, places 200g of cordial at 25°C in the freezer. If the freezer can remove energy at the rate of 250 joules per second, what time will it take for the cordial to freeze? (Assume the specific latent heat and specific heat capacity of cordial are the same as water.)​

Answers

The time taken for the cordial to freeze is 267.2 s.

What is the time taken for the cordial to freeze?

The amount of heat energy (Q) required to freeze the cordial can be calculated using the following formula:

Q = ml

where;

m is the massl is the latent heat of fusion of ice

Q = 334 J/g x 200 g

Q = 66,800 J

The time taken for the cordial to freeze is calculated as;

t = Q/W

where;

W is the rate of energy removal or powert is time

t = (66,800 J) / (250 J/s)

t = 267.2 s

Learn more about heat capacity here: https://brainly.com/question/16559442

#SPJ1

What is the breaking rate? How does the breaking rate comapre to the acceleration
( the velocity decreases until it comes to stop)
Velocity (m/s)
50
40
30
20
10
0
0
Time (s)
10

Answers

The breaking rate refers to the rate at which an object slows down due to braking or deceleration. In other words, it is the rate of change of velocity in the opposite direction of the object's motion.

How to calculate the breaking rate?

Looking at the data provided, we can see that the velocity decreases from 50 m/s to 0 m/s over a period of 10 seconds, which means the object is decelerating at a constant rate. To calculate the breaking rate, we can use the formula:

breaking rate = (final velocity - initial velocity) / time taken

In this case, the breaking rate is:

breaking rate = (0 - 50) / 10 = -5 m/s^2

So, the object is decelerating at a rate of 5 m/s^2.

To compare this to the acceleration, we need to know the acceleration of the object before it starts breaking. If we assume that the object was accelerating at a constant rate of 5 m/s^2 before it started breaking, then the acceleration and breaking rates are equal in magnitude but opposite in direction. In other words, the acceleration and breaking rates are both 5 m/s^2, but the acceleration is positive while the breaking rate is negative.

It's worth noting that the breaking rate can vary depending on various factors such as the mass of the object, the friction between the object and the surface it is moving on, and the force applied to the brakes.

Learn more about acceleration here:

https://brainly.com/question/907547

#SPJ9

apart from inital temperature and room temperature suggest any other factor that should be kept the same to ensure that similar temperature readings are obtained​

Answers

Answer: the quantity of the substance being measured and make sure to stir the substance before taking the readings, also make your eyesight perpendicular to the scale reading to avoid parallax error

Explanation:

4.
Large speaker cones produce deeper frequencies than small speaker cones.
O True
MacBook Air
False

Answers

The given statement that Large speaker cones produce deeper frequencies than small speaker cones is true.

What is the justification?

The frequency response of a speaker refers to its ability to reproduce sound across different frequencies. In general, larger speaker cones are capable of moving more air and producing lower frequencies than smaller cones. This is because the size of the speaker cone affects the amount of air it can displace and the amount of force it can generate.

Low-frequency sounds require more movement of air to be heard, and larger cones are better suited to move the necessary amount of air. However, it's worth noting that there are other factors that can affect a speaker's frequency response, such as the design of the speaker cabinet, the materials used in the speaker cone, and the quality of the electronics used to power the speaker.

Learn more about frequency at:

https://brainly.com/question/254161

#SPJ1

b) A rocket initially moving at v0=3.5 km/s in space fires its engines. The initial mass of rocket is m0=200,000 kg and the final mass of the rocket is m=20,000 kg. If the exhaust velocity is ve=5.2 km/s, calculate the final speed in km/s.

Answers

The final speed of the rocket is -11.8 km/s.

What is the final speed of the rocket?

The final speed of the rocket is calculated by applying the principle of conservation of linear momentum.

m0v0 = mv + (m0 - m)ve

where;

m0 is initial massv0 is the initial speedve is exhaust velocity

The final speed of the rocket is calculated as;

200,000 kg  x 3.5 km/s = 20,000 kg x v + (200,000 kg - 20,000 kg) x 5.2 km/s

700,000 = 20,000v + 936,000

v = -236,000/20,000

v = -11.8 km/s

Learn more about final speed here: https://brainly.com/question/25905661

#SPJ1

Which step of the PRICES method is represented by the letter S?
A.
Raise the injured area above the heart.
B.
Stop the activity until the injury is evaluated.
C.
Wrap the injured site to decrease swelling.
D.
Apply a brace or a splint to the area.

Answers

should be D for support also why is this Physics

What is the current theory about the formation of the solar system?

Responses

About 14 billion years ago, several supernova events scattered all the known elements throughout the galaxy. The magnetic elements were attracted to each other and formed the early celestial bodies that eventually became the planets of the solar system.

About 14 billion years ago, several supernova events scattered all the known elements throughout the galaxy. The magnetic elements were attracted to each other and formed the early celestial bodies that eventually became the planets of the solar system.

A big bang occurred in the solar system as a result of a fusion reaction. All the matter in the solar system that had been clumped together was shattered and sent flying. As new pieces of matter connected, all the celestial bodies of the solar system were formed.

A big bang occurred in the solar system as a result of a fusion reaction. All the matter in the solar system that had been clumped together was shattered and sent flying. As new pieces of matter connected, all the celestial bodies of the solar system were formed.

The area of the universe that was to become the solar system went through a period of vast expansion as a result of rapid radioactive decay that left behind clouds of dust and gases. The excess clouds and gases were used to form the various parts of the solar system.

The area of the universe that was to become the solar system went through a period of vast expansion as a result of rapid radioactive decay that left behind clouds of dust and gases. The excess clouds and gases were used to form the various parts of the solar system.

The solar system began as a cloud of dust and gas that condensed, forming a bulging middle and an outer disk. The bulging middle of the cloud became the sun, and the rest of the dust and gas formed the planets, orbiting the sun in the same plane.

Answers

The current theory about the formation of the solar system is that it began as a cloud of dust and gas, known as the solar nebula which is the last response.

What happened to the nebula?

The nebula collapsed under its own gravity, forming a spinning disk with a bulging middle that became the sun. The remaining dust and gas in the disk coalesced into small bodies, which collided and stuck together, forming the planets.

This process, known as accretion, resulted in the four inner planets, which are small and rocky, and the four outer planets, which are large and gas-rich.

Find out more on solar system here: https://brainly.com/question/1286910

#SPJ1

An engine using 1 mol of an ideal gas initially at 18.7 L and 370 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 370 K from
18.7 L to 33 L ;
2) cooling at constant volume to 209 K ;
3) an isothermal compression to its original
volume of 18.7 L; and
4) heating at constant volume to its original
temperature of 370 K .
Find its efficiency. Assume that the
heat capacity is 21 J/K and the universal gas constant is 0.08206 L · atm/mol/K =
8.314 J/mol/K

Answers

To find the efficiency of the engine, we need to first calculate the amount of work done by the engine during the cycle and the amount of heat supplied to the engine. The efficiency is then given by the ratio of the work done to the heat supplied.

1) Isothermal expansion: During this step, the gas expands from a volume of 18.7 L to 33 L at a constant temperature of 370 K. Since the process is isothermal, the gas obeys the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature.

The pressure of the gas during this step can be found by rearranging the ideal gas law:

P = nRT/V

Substituting the given values, we get:

P = (1 mol)(8.314 J/mol/K)(370 K)/(18.7 L) = 162.7 kPa

The work done during this step is given by:

W1 = -∫PdV

where the integral is taken from the initial volume of 18.7 L to the final volume of 33 L. Since the process is isothermal, the pressure can be substituted into the integral:

W1 = -nRT ln(Vf/Vi)

Substituting the given values, we get:

W1 = -(1 mol)(8.314 J/mol/K)(370 K) ln(33 L/18.7 L) = -8201 J

2) Cooling at constant volume: During this step, the gas is cooled from a temperature of 370 K to 209 K at a constant volume of 18.7 L. Since the volume is constant, no work is done during this step. The amount of heat removed from the gas is given by:

Q2 = nCΔT

where C is the heat capacity and ΔT is the change in temperature. Substituting the given values, we get:

Q2 = (1 mol)(21 J/K)(209 K - 370 K) = -3366 J

Note that the negative sign indicates that heat is being removed from the gas.

3) Isothermal compression: During this step, the gas is compressed back to its original volume of 18.7 L at a constant temperature of 209 K. Using the same approach as in step 1, we can find the pressure of the gas:

P = (1 mol)(8.314 J/mol/K)(209 K)/(18.7 L) = 93.0 kPa

The work done during this step is given by:

W3 = -nRT ln(Vi/Vf) = (1 mol)(8.314 J/mol/K)(209 K) ln(18.7 L/33 L) = 4082 J

Note that the negative sign indicates that work is being done on the gas.

4) Heating at constant volume: During this step, the gas is heated back to its original temperature of 370 K at a constant volume of 18.7 L. Again, no work is done during this step. The amount of heat added to the gas is given by:

Q4 = nCΔT = (1 mol)(21 J/K)(370 K - 209 K) = 3381 J

The net work done by the engine during the cycle is given by:

Wnet = W1 + W3 = -8201 J + 4082 J = -4120 J

The net heat supplied to the engine during the cycle is given by:

Qnet = Q2 + Q4 = -3366 J + 3381 J = 15 J

The efficiency of the engine is given by:

η = Wnet/Qnet = -4120 J/15 J = -275.3

Note that the negative sign indicates that the engine is not operating as a heat engine, but rather as a heat pump or refrigerator. This is because the amount of work done by the engine is greater than the amount of heat supplied to the engine, which violates the second law of thermodynamics.

Which model of the universe is the most widely accepted, and what does it
predict?
A. An open universe, in which the universe never stops expanding
B. A flat universe, in which the universe stops expanding but does not
contract
C. A closed universe, in which the universe stops expanding but does
not contract
OD. A closed universe, in which the universe never stops expanding

Answers

The answer to this question is c

A small block with mass 0.0400 kg
is moving in the xy
-plane. The net force on the block is described by the potential-energy function U(x,y)=(5.50J/m2)x2−(3.70J/m3)y3
.
Part A
What is the magnitude of the acceleration of the block when it is at the point x
= 0.40 m
, y
= 0.50 m
?
Express your answer with the appropriate units.

Part B
What is the direction of the acceleration of the block when it is at the point x
= 0.40 m
, y
= 0.50 m
?
Express your answer in degrees.

Answers

The magnitude of acceleration at the given point is 8.04 m/s², and the direction of acceleration at the given point is 38.5° below the negative x-axis.

To find the magnitude of acceleration at the given point, we need to calculate the force acting on the block using the potential-energy function and then use Newton's second law, F=ma, to find the acceleration.

The force acting on the block can be found by taking the negative gradient of the potential-energy function;

F = -∇U = (-∂U/∂x)i + (-∂U/∂y)j

where i and j are unit vectors in the x and y directions, respectively.

Taking the partial derivatives of U(x,y) with respect to x and y, we get;

∂U/∂x = 11.0 J/m² × x

∂U/∂y = -11.1 J/m³ × y₂

Plugging in the values x=0.40 m and y=0.50 m, we get;

∂U/∂x = 1.76 J/m

∂U/∂y = -1.39 J/m

Therefore, the force acting on the block at (0.40 m, 0.50 m) is;

F = (-1.76 J/m)i + (-1.39 J/m)j

Using Newton's second law, F=ma, we can find the magnitude of acceleration:

a = F/m = ([tex]F_{x}[/tex][tex]F_{y}[/tex]/m₂ + [tex]F_{y}[/tex]₂/m₂)1/2

= [(1.76 J/m)2 + (-1.39 J/m)2]/0.0400 kg

= 8.04 m/s2

Therefore, the magnitude of acceleration at the given point is 8.04 m/s².

To find the direction of acceleration at the given point, we need to find the angle between the force vector and the positive x-axis.

The angle θ can be found using the formula;

θ = tan-1([tex]F_{y}[/tex] /[tex]F_{x}[/tex])

Plugging in the values of [tex]F_{x}[/tex] and [tex]F_{y}[/tex] at (0.40 m, 0.50 m), we get;

θ = tan-1(-1.39 J/m / 1.76 J/m)

= -38.5°

Since the force vector is in the third quadrant (i.e., both [tex]F_{x}[/tex] and [tex]F_{y}[/tex] are negative), the angle θ is negative. Therefore, the direction of acceleration at the given point is 38.5° below the negative x-axis.

To know more about potential-energy here

https://brainly.com/question/24284560

#SPJ1

How does the frequency of a string affect its wavelength?

Answers

Answer:

As the frequency goes down, the speed goes down by the same factor, and so the wavelength doesn't change

Explanation:

A rocket is fired from the earth to the moon at a speed of 0.930c. Let two events be "rocket leaves earth" and "rocket hits moon"
A. In the earth's reference frame, calculate Δx for these events.
B. In the earth's reference frame, calculate Δt for these events.
C. In the earth's reference frame, calculate the spacetime interval s for these events.
D. In the earth's reference frame, calculate Δx' for these events.
E. In the earth's reference frame, calculate Δt' for these events.
F. In the earth's reference frame, calculate the spacetime interval s' for these events.
G. In the earth's reference frame, calculate Δx if a rocket is replaced with a laser beam.
H. In the earth's reference frame, calculate Δt if a rocket is replaced with a laser beam.
I. In the earth's reference frame, calculate the spacetime interval s if a rocket is replaced with a laser beam.

Express ALL parts with appropriate units

Answers

A. Δx = 384,400 km (distance between Earth and Moon)

How to solve

B. Δt = 384,400 km / (0.930 * 299,792 km/s) ≈ 1.421 s

C. s² ≈ (-2.781 * 10^10) km² (imaginary number, time-like separated events)

D, E, F. Cannot answer without specified primed frame.

G. Δx for laser beam = 384,400 km

H. Δt for laser beam = 384,400 km / 299,792 km/s ≈ 1.282 s

I. s² for laser beam ≈ 0 km² (light-like separated events)



Read more about velocity here:

https://brainly.com/question/25905661

#SPJ1

You decide to use your body as a Carnot heat engine. The operating gas is in a tube with one end in your mouth (where the temperature is 37.0 ∘C) and the other end at the surface of your skin, at 30.0 ∘C.
How much heat input is needed to accomplish the lift?

Answers

The question is incomplete, I think the question is:

You decide to use your body as a Carnot heat engine. The operating gas is in a tube with one end in your mouth (where the temperature is 37.0 ∘C) and the other end at the surface of your skin, at 30.0 ∘C.(a) What is the maximum efficiency of such a heat engine? Would it be a very useful engine? (b) Suppose you want to use this human engine to lift a 2.50kg box from the floor to a tabletop 1.20m above the floor. How much must you increase the gravitational potential energy, and how much heat input is needed to accomplish this? (c) How many 350-calorie (those are food calories, remember) candy bars must you eat to lift the box in this way? Recall that 80% of the food energy goes into heat.

We need to input about 1278 J of heat into the heat engine to lift the box, and we need to eat about 1.09 candy bars to lift the box

The Carnot heat engine is an idealized thermodynamic cycle that operates between two heat reservoirs and achieves the maximum possible efficiency. It is a theoretical model used to study the behavior of real-world heat engines and provides a benchmark for their performance.

a) The maximum efficiency of a Carnot heat engine is given by the equation:

η = 1 - Tc/Th

where η is the efficiency, Tc is the temperature of the cold reservoir (in this case, 30.0 °C), and Th is the temperature of the hot reservoir (in this case, 37.0 °C).

Plugging in the numbers, we get:

η = 1 - 303 K/310 K ≈ 0.023 or 2.3%

This is a very low efficiency, and the heat engine would not be very useful for doing work.

b) To lift a 2.50 kg box from the floor to a tabletop 1.20 m above the floor, we need to increase its gravitational potential energy by:

ΔPE = mgh

where m is the mass of the box, g is the acceleration due to gravity (9.81 m/s^2), and h is the height the box is lifted.

Plugging in the numbers, we get:

ΔPE = (2.50 kg)(9.81 m/s^2)(1.20 m) ≈ 29.4 J

To accomplish this, we need to input heat Q into the heat engine. Since the efficiency of the heat engine is only 2.3%, the amount of heat needed is:

Q = ΔPE/η = (29.4 J)/(0.023) ≈ 1278 J

So we need to input about 1278 J of heat into the heat engine to lift the box.

c) To input 1278 J of heat into the heat engine, we need to consume food with a total energy content of:

E = Q/ηfood

where ηfood is the efficiency of converting food energy into heat energy. Since 80% of the food energy goes into heat, we have:

ηfood = 0.80

Plugging in the numbers, we get:

E = (1278 J)/(0.80) ≈ 1598 J

To convert this energy content into calories, we divide by 4.184 J/cal, giving:

E = 381 cal

Finally, to determine the number of 350 calorie candy bars needed, we divide the total energy content by the energy content per candy bar:

N = E/Ebar

where Ebar is the energy content of a single candy bar (350 cal). Plugging in the numbers, we get:

N = (381 cal)/(350 cal/bar) ≈ 1.09 bars

So we need to eat about 1.09 candy bars to lift the box.

Therefore, To lift the box, we must put approximately 1278 J of heat into the heat engine and consume approximately 1.09 candy bars.

To learn more about the Carnot cycle click:

https://brainly.com/question/13193431

#SPJ1

A clown figurine is located 21.0 cm in front of a thin lens that has a focal length of 17.0 cm. Where would the image appear, and would it be real or virtual?

15.2 cm, virtual
89.3 cm, real
111 cm, real
−65.2 cm, virtual

Answers

Answer:

c) 111 cm, real.

Explanation:

We can use the thin lens equation to determine the location and nature of the image:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the distance from the object to the lens, and di is the distance from the image to the lens.

Substituting the given values, we get:

1/17 = 1/21 + 1/di

Simplifying and solving for di, we get:

di = 1 / (1/17 - 1/21)

di = 111 cm

Since the value of di is positive, the image is formed on the opposite side of the lens as the object, which means it is a real image.

Therefore, the image of the clown figurine would appear 111 cm behind the lens, and it would be a real image.

The correct option is (c) 111 cm, real.

Sonography uses infrasonic waves to create images of objects found inside other objects.
True
False

Answers

The statement that Sonography uses infrasonic waves to create images of objects found inside other objects is false.

What is Sonography?

Sonography, also known as ultrasound imaging, uses high-frequency sound waves (not infrasonic waves) to create images of objects found inside other objects. These sound waves are emitted by a transducer, which is placed on the skin or inserted into a body cavity, and are reflected off internal structures such as organs, tissues, and fluids.

The reflected sound waves are then detected by the transducer and used to create a real-time image of the internal structures.Ultrasound waves are typically in the range of 2 to 18 megahertz (MHz), which is above the range of human hearing.

Learn more about waves at:

https://brainly.com/question/15663649

#SPJ1

Ocean waves are observed to travel along the water surface during a developing storm. A Coast Guard weather station observes that there is a vertical distance from high point to low point of 2.2 meters and a horizontal distance of 4 meters between adjacent crests. The waves splash into the station once every 4 seconds. Determine the frequency and the speed of these waves.

Frequency= _________________________, speed = _______________________

Answers

The frequency of the waves is 0.25 Hz and the speed of the waves will be 1 m/s.

The distance between adjacent crests is called the wavelength, represented by the symbol λ. In this case, the wavelength is 4 meters.

The vertical distance between the high point (crest) and the low point (trough) is called the amplitude, represented by the symbol A. In this case, the amplitude is 2.2 meters.

The time it takes for one wave to pass a fixed point is called the period, represented by the symbol T. In this case, the period is 4 seconds.

The frequency of the waves is the number of waves that pass a fixed point in one second, represented by the symbol f. It is the reciprocal of the period, so:

f = 1 / T = 1 / 4 = 0.25 Hz

The speed of the waves can be calculated using the wave equation:

v = fλ

where v is the speed of the waves. Substituting the values we have:

v = (0.25 Hz)(4 m) = 1 m/s

Therefore, the frequency of the waves is 0.25 Hz and the speed of the waves is 1 m/s.

To know more about waves

https://brainly.com/question/16502573

#SPJ1

A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed esc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density =2.02×106 g/m3 and volume =1.71×1012 m3.Recall that the universal gravitational constant is =6.67×10−11 N·m2/kg2.

Answers

Answer: 117.626m/s
The escape velocity is given by the following equation:
(1)
Where:
is the Gravitational Constant and its value is
is the mass of the asteroid
is the radius of the asteroid
On the other hand, we know the density of the asteroid is and its volume is .
The density of a body is given by:
(2)
Finding :
(3)
(4) This is the mass of the spherical asteroid
In addition, we know the volume of a sphere is given by the following formula:
(5)
Finding :
(6)
(7)
(8) This is the radius of the asteroid
Now we have all the necessary elements to calculate the escape velocity from (1):
(9)
Finally:
This is the minimum initial speed the rocks need to be thrown in order for them never return back to the asteroid

An object vibrates with a frequency of 2200 Hz to produce sound waves that travel through air with a speed of 340 m/s. Adjacent compressions (i.e., wavelengths) in the sound wave are a distance of meters apart.

Answers

The adjacent compressions in the sound wave are 0.155 meters apart.

This distance is also known as the wavelength of the wave. We are given the frequency of the vibration and the speed of sound in air. The formula for wavelength is:

wavelength (λ) = speed of sound (v) / frequency (f)

We are given the frequency of the sound wave as 2200 Hz and the speed of sound through air as 340 m/s.

Plugging these values into the formula gives:

λ = 340 m/s / 2200 Hz = 0.155 meters

Therefore, adjacent compressions (i.e., wavelengths) in the sound wave are a distance of 0.155 meters apart.

To know more about the Wavelength, here

https://brainly.com/question/14024587

#SPJ1

Which word best completes the analogy?

Health-related fitness is to health as skill-related fitness is to _____.
A.
exercise
B.
wellness
C.
performance
D.
fitness

Answers

The word that best completes the analogy Health-related fitness is to health as skill-related fitness is to is option C which is performance.

Performance explained.

In health and fitness, performance refers to an individual's ability to carry out physical activities or exercises with efficiency and effectiveness, which are key components of skill-related fitness. Good performance in health and fitness can be measured by various parameters, such as strength, endurance, flexibility, balance, coordination, and speed. For example, a good performance in running can be measured by the ability to run a certain distance in a shorter time or maintaining a specific pace for a longer time. Similarly, a good performance in weightlifting can be measured by the ability to lift a certain weight with proper form and technique.

In general, good performance in health and fitness is associated with better overall physical health, reduced risk of chronic diseases, and improved quality of life.

Learn more about performance below.

https://brainly.com/question/27943755

#SPJ1

Find the induced voltage in the conductor of the Figure below where B = 0.04 ay Tan
U = 2.5 sin 103t az m/s.

Answers

The induced e.m.f is -0.02sin(10^3t) (V) which is option D

What is Induced Voltage?

Induced voltage refers to the electrical voltage that is generated in a conductor or coil due to a changing magnetic field.

This phenomenon is known as electromagnetic induction and is the basis for many electrical devices such as generators and transformers.

Induced voltage can be calculated using Faraday's law, which states that the induced electromotive force (EMF) is equal to the rate of change of magnetic flux.

The induced voltage can be either positive or negative depending on the direction of the changing magnetic field and the orientation of the conductor or coil.

Read more about induced voltage here:

https://brainly.com/question/30049273

#SPJ1

Eight identical point charges of Q coul each are placed at the corners of a cube whose sides have a length of 10 cm.
α. Find the electric field at the center of the cube.
b. Find the electric field at the center of a face of the cube.
c. Find the field at the center of the cube if one of the corner charges is removed​

Answers

The electric field at the center of the cube is approximately 5.12 × 10⁴ N/C.

The electric field at the center of a face of the cube is approximately 4.54 × 10⁴ N/C.

The electric field at the center of the cube if one of the corner charges is removed is approximately 4.54 × 10⁴ N/C.

(a) To find the electric field at the center of the cube, we can use the principle of superposition, which states that the total electric field at a point in space is the vector sum of the electric fields due to each individual charge. Since all eight charges are identical and have the same distance to the center of the cube, the electric field due to each charge has the same magnitude and direction.

Using Coulomb's law, we can calculate the magnitude of the electric field due to one charge at the center of the cube as:

E = (kQ) / r²

where k is the Coulomb constant, Q is the charge on each point charge, and r is the distance from the charge to the center of the cube. Since the charges are at the corners of a cube with sides of length 10 cm, the distance from each charge to the center is sqrt√/2 times the length of the side, or 5√(3) cm.

Thus, the magnitude of the electric field due to one charge at the center of the cube is:

E = (kQ) / (5√(3) cm)² = 1.24 × 10⁴ N/C

Since there are eight charges, the total electric field at the center of the cube is:

E_total = 8E = 9.95 × 10⁴ N/C

(b) To find the electric field at the center of a face of the cube, we can again use the principle of superposition. Since the face of the cube is equidistant from four of the charges, the electric field due to those charges has the same magnitude and direction, while the electric field due to the other four charges cancels out.

So, the magnitude of the electric field at the center of a face of the cube is:

E_face = 4E = 4.96 × 10⁴ N/C

(c) If one of the corner charges is removed, the electric field at the center of the cube is no longer spherically symmetric. However, we can still use the principle of superposition to calculate the electric field due to the remaining seven charges. The electric field due to these charges at the center of the cube has the same magnitude as the electric field due to one charge at the center of a face of the cube.

Since the distance from the center to each of the remaining charges is √(2) times the length of the side of the cube.

Thus, the magnitude of the electric field due to the remaining charges is:

E_remaining = 7E = 3.18 × 10⁴ N/C

Therefore, the electric field at the center of the cube if one of the corner charges is removed is approximately 4.54 × 10⁴ N/C, which is the average of the electric fields at the centers of adjacent faces of the cube.

To know more about the Electric field, here

https://brainly.com/question/14530652

#SPJ1

What is the S-P difference (sec)?
What is the amplitude (mm)?
What is the distance (km)?
What is the magnitude (M)?

Answers

(a) The S-P difference (sec) is 40 sec.

(b) The amplitude (mm) is 10 mm

(c) The distance (km) is 380 km

(d) The magnitude (M) is 4.5

What is the S-P wave difference (sec)?

The S-P wave difference (sec) is a measure used in seismology to determine the distance between a seismic station and an earthquake source.

From the graph, the S-P difference, that is between S and P = 40 s - 0 s

= 40 s

The distance (km) corresponding to 40 sec is 380 km.

The amplitude of the wave is the maximum displacement of the wave and it is equal to 10 mm.

The corresponding magnitude of the wave is 4.5.

Learn more about S-P wave difference here: https://brainly.com/question/15225142

#SPJ1

from time 15 seconds to 32 s the path of a car is part of a circle. For this motion the state the direction of the resultant force on the car and what happens to the velocity of the car​

Answers

Since the car is moving in a circular path, it is undergoing centripetal acceleration toward the center of the circle. This acceleration is caused by a net force directed towards the center of the circle, which is the resultant force on the car. This force is known as the centripetal force.

Centripetal force is the net force that acts on an object moving in a circular path, directed towards the center of the circle. This force is responsible for the object's centripetal acceleration and is necessary to keep the object moving in a circular path.

According to Newton's second law of motion, F=ma, where F is the net force, m is the mass of the object, and a is the acceleration of the object. Since the car is experiencing centripetal acceleration, which is perpendicular to its velocity, the direction of the net force is also perpendicular to the velocity.

As a result, the direction of the net force on the car is towards the center of the circle. If the net force were to suddenly disappear, the car would move off in a straight line tangent to the circle.

Therefore, Since the net force on the car is constantly changing the direction of the car's velocity, the velocity is also changing. Specifically, the velocity is changing in direction, but not in magnitude, since the car is moving at a constant speed along the circular path. This change in the direction of the velocity is what causes the acceleration, and therefore the centripetal force.

To learn more about Newton's law of motion click:

brainly.com/question/29775827

#SPJ1

Other Questions
whats the event occurring in ojibwe woman makes history as North Dakota poet laureate 1.47 minutes is how many hours?(1 hour = 60 minutes) Help please!!!!Whoever answers right gets brainliest! A person places $81200 in an investment account earning an annual rate of 3. 6%,compounded continuously. Using the formula V = Pent, where Vis the value of theaccount in tyears, P is the principal initially invested, e is the base of a naturallogarithm, and r is the rate of interest, determine the amount of money, to thenearest cent, in the account after 13 years. The Jones' family experienced a loss of $1,760 in purchasing power last year. If the inflation rate was3%, find the percentage raise received on the family's $88,000 yearly income. Please explain Please help me out with this Which of these ionization processes requires the highest amount ofenergy?(a) na(g) --> na*(g) + e;(b) mg(g) --> mg (g) + e;(c) al(g) --> alt(g) + e;(d) ca(g) --> ca*(g) + e; Find Tn centered at x = 23 for all n for the function f(x) = ex. (Use symbolic notation and fractions where needed.) Use spherical coordinates to evaluate the triple integralE 4x^2 + 3dV = ______ A company may choose a skimming strategy during the introduction stage of its product to help recover costs of development and/or to ___ According to the NOAA, the state of Oregon has just over 6 million feet of Pacific coastline. If the population of Oregon is approximately 3.8 million people, find the number of feet of coastline per capita in Oregon. Round your answer to the nearest hundredth What are your suggestions to maintain the organization'sstrengths and prevent weaknesses and possible collapse in anyaspect of ethical compliance? Discuss it in comprehensively in morethan 300 word Whats a good title for the following thesis :Expanding Counseling Within Schools for not only children who are struggling with their mental health, but for all children in general. Determine the celsius temperature of 1.50 moles of ammonia contained in a 10.0-l vessel under apressure of 2.0 atm.a-1100162-50 c0.0 c 1737x+642y=3 x and y are integers 29 cmL8.5 cm12 cm A vertical spring with a force constant of 5.2N/m has a relaxed length of 2.58 m. Whena mass is attached to the end of the springand allowed to come to rest, the length of thespring is 3.50 m.Calculate the elastic potential energystored in the spring. 1: A study group is interested in estimating the average monthly income of 1,500 employees. It decides to select a random sample of 60 female and 80 male employees using proportional allocation. Identify: a) the population and sample b) the scope of data collection (censes or sample survey) (c) The variable of interest d) The possible sources of data collection colfaction e) The type of statistics used What distinction does washington make between the united states and""neighboring countries not tied together by the same governments"" red bird manufacturing would like to avoid issuing new stock because new stock has a higher cost than retained earnings, but the company forecasts that if all of its existing financial policies are followed, its proposed capital budget would be so large that it would have to issue new common stock. which of the following actions would reduce its need to issue new common stock? a.reduce the percentage of debt in the target capital structure. b.increase the dividend payout ratio for the upcoming year. c.increase the percentage of debt in the target capital structure. d.increase the proposed capital budget. e.reduce the amount of short-term bank debt in order to increase the current ratio.