In a game of pool, the cue ball moves at a speed of 2 m/s toward the eight ball. When the cue ball hits the eight ball, the cue ball bounces off with a speed of 0.8 m/s at an angle of 20°, as shown in the diagram below. Both balls have a mass of 0.6 kg.

PICTURE

a. What is the momentum of the system before the collision? (Write it in component form.) (0.5 points)
b. What is the momentum of the system after the collision? (0.5 points)
c. Write the velocity of the cue ball after the collision in component form. (1 point)
d. What is the x-component of the velocity of the eight ball after the collision? (1 point)
e. What is the y-component of the velocity of the eight ball after the collision? (1 point)
f. At what angle does the eight ball travel after the collision? (1 point)
g. What is the magnitude of the eight ball's velocity after the collision? (1 point)

In A Game Of Pool, The Cue Ball Moves At A Speed Of 2 M/s Toward The Eight Ball. When The Cue Ball Hits

Answers

Answer 1

a)  p₀ = 1.2 kg m / s

b) p_f = 1.2 kg m / s  

c)    [tex]v_{2f}[/tex] = 1.278 m/s

d)1.2482 =[tex]v_{2f}[/tex] cos θ

e)  0.2736 =[tex]v_{2f}[/tex]sin θ

g) θ = 12.36

What is momentum?

Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

According to the question,

We define a system formed by the two balls, which are isolated and the forces during the collision are internal.

Hence , the momentum is conserved

a) The momentum of the system before the collision:

[tex]p_o = m v_1_0 + 0 p_o= 0.6 2 p_o = 1.2 kg m / s[/tex]

b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so

[tex]p_f = 1.2 kg m / s[/tex]

d. On X axis

[tex]p_ox[/tex] = 1.2 kg m / s

[tex]p_{fx}[/tex]= m v1f cos 20 + m v2f cos θ

[tex]p_o = p_f[/tex]

1.2 = 0.6 (-0.8) cos 20+ 0.6[tex]v_{2f}[/tex] cos θ

1.2482 =[tex]v_{2f}[/tex] cos θ

e. On Y axis  

[tex]p_{oy} = 0[/tex]

[tex]p_{fy}[/tex]= m[tex]v_{1f}[/tex]sin 20 + m[tex]v_{2f}[/tex]cos θ

0 = 0.6 (-0.8) sin 20 + 0.6 [tex]v_{2f}[/tex] sin θ

0.2736 =[tex]v_{2f}[/tex]sin θ

Here,

g. we write our system of equations

0.2736 =[tex]v_{2f}[/tex] sin θ

1.2482 = [tex]v_{2f}[/tex] cos θ

0.219 = tan θ (divide)

θ = tan⁻¹ 0.21919

θ = 12.36

c. Now To find the velocity

0.2736 = [tex]v_{2f}[/tex] sin θ

[tex]v_{2f}[/tex]= 0.2736 / sin 12.36

[tex]v_{2f}[/tex] = 1.278 m / s

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Related Questions

If a star is moving away from you at constant speed, the absorption lines in its spectrum will.

Answers

Answer:

The absorption lines will shift to the red (become longer).

This is because of the extra distance that a wavelength λ must travel between the vibrations of the source producing the spectrum.

Note that the Doppler effect of the source is slightly different for light waves than it is for sound waves because sound waves require a medium in which to travel while light waves do not require such a medium (example air).

Which of the following is a disadvantage of using geothermal energy?

A. It is abundant.
B. It can reduce greenhouse emissions.
C. It is renewable.
D. It can cause air and groundwater pollution.

Answers

i beleive that the D option is correct
i hope it help

The disadvantage of using geothermal energy is  "It can cause air and groundwater pollution." The correct option is D.

What is geothermal energy?

Geothermal energy is a type of renewable energy that comes from the heat within the Earth's core.

The Earth's core is extremely hot, and this heat energy can be harnessed and used to generate electricity. Geothermal energy is often found in areas where the Earth's crust is thin or where there are active volcanoes and geysers.

There are two main types of geothermal energy: direct use and electricity generation.

Direct use involves using geothermal heat directly for heating buildings, greenhouses, or industrial processes such as drying crops or pasteurizing milk. Electricity generation involves using geothermal heat to generate electricity, typically by pumping water into underground reservoirs to create steam that drives turbines connected to generators.

Geothermal energy is considered a renewable energy source because the heat within the Earth's core is continually replenished by radioactive decay. Additionally, geothermal energy is a relatively clean energy source, producing fewer greenhouse gas emissions than fossil fuels.

Here in the question,

Although geothermal energy has many advantages, such as being renewable and reducing greenhouse gas emissions, one of the main disadvantages is that it can cause air and groundwater pollution.

This is because geothermal power plants often release gases and fluids from underground reservoirs that can contain pollutants such as hydrogen sulfide, ammonia, and boron. Additionally, the drilling process used to extract geothermal energy can also release pollutants into the air and water. However, with proper management and regulation, these negative impacts can be minimized.

Therefore, Option D  is correct i.e It can cause air and groundwater pollution is a disadvantage of using geothermal energy.

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What is the peak value of a sine wave whose VAV value is 15V?​

Answers

The peak value of a sine wave whose VAV value is 15V is 21. 21

What is a peak value?

A peak value is simply known as the highest or maximum value reached in one cycle by an alternating quantity.

The formula for peak value is given as;

peak value = Voltage * √2

Voltage = 15V

Peak value = 15 * √ 2 = 15 * 1. 4142 = 21. 21

Thus, the peak value is 21. 21

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Describe how a star is formed?
____________________________

Answers

a more in depth description:
as gasses like hydrogen start to gather, it creates more mass, therefore more gravitational attraction. As the gasses start to collect to considerably large amounts, the gas at the center of the mass starts to compress. As the gas keeps growing, the immense pressure on the core grows and grows, raising the temperature to extreme amounts. As this happens the star starts to undergo a process called nuclear fusion. this process occurs when immense pressure and heat cause the electrons to escape from their nuclei and flow around freely. this is what the fourth state of matter is. this type of matter is called plasma. this alone creates incredible amounts of heat and energy. The main part of the fusion process though is that the nuclei in which the electrons escaped from begin to merge, creating heavier nuclei, therefore creating heavier and denser nuclei. as the nuclei combine they also form denser elements, such as helium (fist merge of nuclei) all the way to eventually iron (last merge before nuclei is at its heaviest. This entire process takes billions of years to go from helium to the extremely dense iron, and stars usually only reach iron if they are big enough (a lot larger than our sun) so that the pressure will be able to keep fusing nuclei. if they dont reach iron, at the end of their life, the fuel from the inside will be used up and the core has to compensate for the gravitational force of the outer star pushing in. this means the star will grow as the outward force becomes greater than the gravitational force. the star will stay like this for a while before finally using up all the fuel and slowly dying off and shrinking. the shrinking star (or dying star) is known as a white dwarf

that is the long answer

Answer:

Star Formation

Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.

hy XD ~

which process produces the energy that powers a solar calculater

Answers

Nuclear fusion is the process which produces the energy that powers a solar calculator.

What is Nuclear fusion?

This process involves the fusion of hydrogen atoms to form helium with accompanying release of heat energy.

The heat energy is what powers the solar calculator thereby making it the most appropriate choice.

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which cooks food faster, an aluminium pot or a copper one?​

Answers

Answer:

copper cooks it faster because it heats up quicker

Copper

Copper is a good heat conductor and food would be cooked faster in it.

Hope this helps!!

>Rijja<

Please mark brainliest! :)

A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.

Answers

More stopping force is required when the car has to stop in a shorter distance.

What is the relationship between force and acceleration?

Force is directly proportional to acceleration according to Newton's second law of motion.

This means that acceleration increases when force increases.

Stopping of a moving car is negative acceleration.

Therefore, more stopping force is required when the car has to stop in a shorter distance.

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How many groups are in the modern periodic table?

Answers

Answer:

18 groups are in the modern periodic table

Answer:

There's 18 groups I'm pretty sure

A cube of metal of side 10cm is fully immersed in a liquid of relative density 0.8.Calculate the upthrust experienced by the body. Take density of water=1000kgm3 and g=10ms-1​

Answers

The upthrust experienced by the cube of metal is determined as 7.84 N.

Upthrust experienced by the body

The upthrust experienced by the body is calculated as follows;

Fu = ρVg

where;

ρ is density of the bodyV is volume of the bodyg is acceleration due to gravity

Density of the body

S.G = density of the body / density of water

density of the body = S.G x density of water

ρ = 0.8 x 1000 kg/m³

ρ = 800 kg/m³

Volume of the body

V = L³

V = (0.1)³

V = 0.001 m³

Upthrust = ρVg

Upthrust = 800 x 0.001 x 9.8

Upthrust = 7.84 N

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what would happened if there is no invented of machine?​

Answers

if there were no invention of machines then life would have been more difficult and simple works could be hard to do. Even now we are using our phones, sitting in a AC room interacting to eachother from different places. without the invention of machines simple things like transportation would have been difficult. There would be horses and donkey for the transportation. There would be no electricity,no internet, no transportation, not even c computers or mobile etc. The market for business will be smaller, the knowledge and news about world would be less.

so the problem would have been bigger than we can imagine. But one thing is that nature could survive lot more compared to what we have done till now by destroying nature.

A train travels 8.81 m/s in a -51.0° direction. The train accelerated for 2.23 s, changing its velocity to 9.66 m/s in a 37.0° direction. What is (delta)x? ​

Answers

The value of the [tex]\rm \triangle x[/tex] will be 29.14 m. Delta represent the change.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The velocity in the part 1;

V₁ = 8.81

The velocity in the part 2;

V₂ = 9.66 m/sec

The resultant of the two vectors of velocity gives the velocity for the connecting path.

[tex]\rm V = \sqrt{8.81 ^2 + 9.66^2 } \\\\ V= 13.07 \ m/sec[/tex]

The  time period for the train accelerates;

[tex]\rm \triangle x = v \times t \\\\ \triangle x = 13.07 \ m/sec \times 2.23 \ sec \\\\ \triangle x = 29.14 \ m[/tex]

Hence the value of the [tex]\rm \triangle x[/tex] will be 29.14 m.

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Answer:

the answer is 14.77 for ∆x

the answer for ∆y is 1.16

A boy threw a ball upward and it took 3 sec to reach the highest point. Determine the initial velocity of the ball.

Answers

Answer:

V initial = 29.4 m.s²

Explanation:

( Using the laws of motion)

V final = V initial + Acceleration × time

0 = V initial + ( -9.8)(3)

29.4 = V initial

* I took upward as positive that's why I substituted -9.8 *

* for V final we know that at maximum height the ball is not moving thats why is = 0 *

Which statement is TRUE about forces?
A. Forces do not have a specific direction.
B. Forces do not have specific strength.
C. Forces always act in pairs, a push and a pull.

Answers

Answer:

Forces do not have a specific direction.

One point charge has a magnitude 5.4x10-7 C. A second charge 0.25 meters away has a magnitude of 1.1x10-17 C. What is the electric force magnitude of one charge on the other?

Answers

The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.

Formula for electrostatic force is F = ( K q1 q2 )/ r²

where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.

In question we have given

value of q1 = 5.4 x 10⁻⁷ C

value of q2 = 1.1 x 10⁻¹⁷ C

distance between the (r) = 0.25 m

Applying the formula

F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )

F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )

F = 8.5536 × 10⁻¹³ Newton

Electrostatic force = 8.5536 × 10⁻¹³ Newton

So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.

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What do comets and asteroids have in common?

Answers

Answer:

Asteroids and comets have a few things in common. They are both celestial bodies orbiting our Sun, and they both can have unusual orbits, sometimes straying close to Earth or the other planets. They are both “leftovers” — made from materials from the formation of our Solar System 4.5 billion years ago. But there are a few notable differences between these two objects, as well. The biggest difference between comets and asteroids, however, is what they are made of.

While asteroids consist of metals and rocky material, comets are made up of ice, dust, rocky materials and organic compounds. When comets get closer to the Sun, they lose material with each orbit because some of their ice melts and vaporizes. Asteroids typically remain solid, even when near the Sun.

Right now, the majority of asteroids reside in the asteroid belt, a region between the orbits of Mars and Jupiter which may hold millions of space rocks of varying sizes. On the other hand, the majority of comets are in the farthest reaches of our Solar System: either 1. in the Kuiper Belt — a region just outside the orbit of the dwarf planet Pluto that may have millions of icy comets (as well as many icy dwarf planets like Pluto and Eris); or 2. the Oort Cloud, a region where trillions of comets may circle the Sun at huge distances of up to 20 trillion kilometers (13 trillion miles).

Answer:

they are both leftovers materials

Explanation:

think about how the solar system is made the comets and asteroids are both rocks and remains of the solar system

look at picture below !! please <3

Answers

Answer:

C

Explanation:

compound is a substance made from two or more different elements that have been chemically joined

Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms. please select the best answer from the choices provided t f

Answers

The statement "Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms" is absolutely false.

What is monsoon?

Monsoon may be characterized as a seasonal transformation in the direction of the predominant, most potent, currents of a region. It blows from cold to warmer regions of the geographical locations.

Thunderstorms basically originated identically with monsoons more frequently. Monsoon involves sudden and gradual rainfall, extreme wind, and a drop-down in temperature.

The occurrence of monsoon is fixed at different geographical locations, but the occurrence of thunderstorms will not be definite or predominantly known.

Thus, the statement "Since monsoons are storms that usually occur during a specific time of year in certain regions, you could not compare them to thunderstorms" is absolutely false.

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Answer:

False

Explanation:

If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.

Answers

The energy input would it take to climb a ladder will be 20000 J.

What is the mechanical advantage?

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.

Mechanical advantage is a measure of how much a machine multiplies the input force.

The complete question is;

"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"

The formula for the efficiency is;

[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]

Hence, the energy input would it take to climb a ladder will be 20000 J.

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What is the total amount of charge and energy, respectively, that the capacitor will store if it is connected to the battery on the railcar?.

Answers

The total amount of charge and energy will be 1.20 C and 7.20 J respectively

What is a capacitor?

A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.

An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.

Given data;

Voltage,V= 12V

Capicitance,C=100mF = 100 × 10⁻³ F

The total amount of charge is;

Q=CV

Q=100 × 10⁻³ ×  12 V

Q=1.20 C

The energy stored by the capacitor;

[tex]\rm U = \frac{1}{2}CV^2 \\\\ \rm U = \frac{1}{2}\times 100 \times 10^{-3} \times (12 \ V)^2 \\\\ U= 7.20 \ J[/tex]

The energy stored by a capacitor will be 7.20 J.

Hence, the total amount of charge and energy will be 1.20 C and 7.20 J respectively

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what is the total current for the parallel circuit?​

Answers

Answer:

[tex]\huge\boxed{\sf Current = 6\ Ampere}[/tex]

Explanation:

In a parallel circuit, Total resistance is:

[tex]\displaystyle \frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]

Where [tex]R_1[/tex] = 6Ω and [tex]R_2[/tex] = 12Ω

Finding [tex]R_T\\[/tex]:

[tex]\displaystyle \frac{1}{R_T} =\frac{1}{6} +\frac{1}{12} \\\\\frac{1}{R_T} =\frac{1 \times 2+1}{12} \\\\\frac{1}{R_T} =\frac{3}{12} \\\\\frac{R_T}{1} = \frac{12}{3} \\\\\boxed{R_T=4 \ Ohm}[/tex]

Finding current:

We know that:

V = IR (Ohm's Law)

V = 24 V, R = 4 Ω (V given, R found)

24 = I(4)

Divide 4 to both sides

6 A = I

Current = 6 Ampere

[tex]\rule[225]{225}{2}[/tex]

A chain of length L has a mass of m which is uniformly distributed. When it is placed on a smooth horizontal table, 1/4 of its length hangs over the edge of the table (as shown in the figure). Then the chain slides away from the table freely, how much gravitational potential energy has changed from the beginning to the chain just sliding away from the table? (The height of the table from the ground is much greater than L)

Answers

Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.

What is gravitational potential energy?

The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.

Length of hanging part, L/4

The gravitational potential energy is;

Work = Gravitational potential energy

Work done =force×displacement

[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]

Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.

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PLEASE HELPP

just do the diagram

Answers

Answer:the line away from the spacecraft should be straight down (perpendicular to it). Label this M. This is the force of the moon on the spacecraft. A minuscule line upward from the moon towards the spacecraft shows the force of the spacecraft on the moon. Should be directly below the spacecraft and pointed straight up at it.

Explanation:

The force exerted on the tires of a car that directly accelerate it along a road is exerted by the

Answers

The force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.

What is force?

Force is defined as the product of mass and acceleration of an object.

Friction is defined as the force that resists the movement of an object over another.

Therefore, the force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.

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why aren't there lunar and solar eclipses every month?

Answers

The moon's orbital plane is different from that of the earth's orbit around the sun due to which lunar and solar eclipses do not occur every month.

What is a solar eclipse?

When the moon passes in front of Earth and the sun, it creates a solar eclipse and casts a shadow across the globe.

Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.

Due to the moon's orbit being five degrees off-center from Earth's orbit around the Sun, lunar eclipses do not happen every month and the Moon often passes above or below the shadow.

Lunar eclipses would happen every month if there were no tilt. Eclipses of the sun and the moon happen equally often.

Hence lunar and solar eclipses aren't coming every month.

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The reason why lunar and solar eclipses do not occur every month is because; the plane of orbit of the moon around the earth is not same as that of earth around the sun.

Why don't lunar and solar eclipses occur every month?

When the Moon passes between Earth and the Sun, there's solar eclipse while when the earth passes between the Sun and the Moon, casting a shadow on the Moon, there's lunar eclipse.

Hence, because the plane of orbit of the moon around the earth is not same as that of earth around the sun, we do not have lunar and solar eclipses every month.

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A results force of 25newtons acts on a mass of 0.50kilogram starting from rest .find acceleretion in m/s2 , the final velocity after 20seconds, the distance moved in m

Answers

Answer: See below

Explanation:

a) Using Newton's 2nd Law, rearranging and solving for acceleration

[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]

b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:

[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]

c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:

[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will

Answers

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.

What is Buoyancy?

Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.

All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.

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What is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6 cm^3?

Answers

Answer:

1.708 g/cm^3

Explanation:

Density = mass/volume

           =  84.7 g / 49.6 cm^3 = 1.708  g/cm^3

Which observations correctly describe the second law of thermodynamics? check all that apply.

thermal energy that is not used to do work is often released to the surroundings.

thermal energy flows from a cooler object to a warmer object.

thermal energy flows from a warmer object to a cooler object.

thermal energy is released as unusable energy by a heat engine, which is never 100 percent efficient.

thermal energy flows when two objects in contact have a temperature difference.

answers: 1,3,4,5

Answers

Answer:

I would agree with the answers 1, 3, 4, 5

Obviously energy will not spontaneously flow from a cooler object to a warmer object

Answer:

A. Thermal energy that is not used to do work is often released to the surroundings.

C. Thermal energy flows from a warmer object to a cooler object.

D. Thermal energy is released as unusable energy by a heat engine, which is never 100 percent efficient.

E. Thermal energy flows when two objects in contact have a temperature difference.

Explanation:

Got it right on edge 23

One exciting fairground ride acts like a giant catapult. The capsule which the ‘rider’ is strapped in is fired high into the sky by rubber straps. Explain the energy changes taking place on the ride.

Answers

Answer:

- elastic energy of rubber straps → KE of capsule 

- KE → GPE as capsule

Explanation:

how can you determine the relative ages of the moon's maria and highlands? (select all that apply.)

Answers

The relative ages of the moon's maria and highlands can be determined through the following:

Radioactive datingCrater densityLava flows.

What is a Moon maria?

This is referred to as the early geologic units of the moon which arose from asteroid impact and subsequent volcanic activity.

The ages can be measured using techniques such as radioactive dating and crater density.

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Other Questions
Suppose you work in Management and are collaborating with Human Resources to create a regression equation to predict turnover (people quitting their jobs). You believe that job satisfaction (as measured on a 50-point scale), age of the employee (in years), and the current unemployment rate will all be useful predictors and you want to test your model. When building the Complete 2nd Order Model, you will need to do all EXCEPT which of the following: 1) (b + a) = 4; use a = 1 and b = 3 2) c(b + b); use b = 1 and c = 5 3) 4+ pm; use m = 4 and p =3 4) 5+ pm; use m = 4 and p = 2 5) m(p + 2); use m = 5 and p = 2 6) h+j; use h = 1 and j = 4 7) y-(x - 5); use x = 5 and y = 6 8) 4xy; use x = 5 and y = 2 9) n(p + 3); use n = 2 and p = 2 10) y +x+x; use x = 3 and y = 5 11) 6+ a-b; use a = 4 and b = 4 The phrase I suppose helps Roosevelt create which kind of tone Determine the linear function for a graph that is a line with a slope of 1/7 and contains the point (4, 1). Help me show your work In your own words:a. Describe at least three factors that contributed to the Industrial Revolution.b. Explain how these factors were important. INSTRUCTIONS: Determine the truthfulness of the material viewed by explaining what makes it true or false. Explain each in 2 to 3 sentences. (10 POINTS)1-2._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________3.-4._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________5-6._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________7-8._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________9-10.______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 1. How did Bolvar's advice combine practical suggestions with idealistic principles? 2. To what extent does Bolvar believe the revolt to have been triggered by Spain's refusal to live up to its own best principles? 3. Are there any biases or logical fallacies one needs to be aware of when analyzing this primary source? Did you note any biases or fallacies in your own, initial approach? Explain. What is the range of the function y=-x +1?A) y -1B) y-1C) y 1D) y 1 Somebody help me with this question please thank you Read this excerpt of Walter's words to Mama from A Raisin in the Sun:You run our lives like you want to. It was your money andyou did what you wanted with it. So what you need for meto say it was all right for? (Bitterly, to hurt her as deeply ashe knows possible) So you butchered up a dream of mine-you-who always talking 'bout your children's dreams...What does this excerpt most reveal about Walter?A. That he is confident he will come up with money for his businessB. That he is grateful for the way his parents raised himC. That he feels like a failure as a manD. That he respects Mama and her choices A car is purchased for 28,000 after each year, the resale value decreased by 25% what will be the resale value be after 3 years? Study the editorial cartoon by Sign Wilkinson.Copyright by Signe WilkinWILL WORKforAIR CONDITIONING!23Which details best support the purpose of this editorialcartoon? Select three options.the pattern of the woman's outfitthe "will work for air conditioning" signthe rat sweating on the sidewalkthe city buildings and sidewalkthe comfortable man in the air-conditioned car How can you best avoid nutrient deficiencies?A. Avoid colorful foods.B. Avoid home-cooked meals in favor of restaurant food.C. Eat a variety of fresh foods within each food group.D. Eat a variety of snacks and desserts. Escoge la respuesta correcta.Qu hace el tortugario de Monterrico para conservar las tortugas?A) Atrapan a las tortugas.B) Protegen los nidos de las tortugas.C) Comen y venden huevos de tortugas.D) Sacan fotos de las tortugas. Select the correct answer. A linear function on a coordinate plane passes through (minus 3, 2), (0, 4), and (3, 6) Which equation describes the line graphed above? A. B. C. D. What is the range of the given function?{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}O {x|x=-5, -4, -2, 0, 2}Oy | y=-9, -3, 0, 5, 7}{x|x = -9, -5, -4, 3,2, 0, 2, 5, 7}{y | y=-9, -5, -4, -3, -2, 0, 2, 5, 7} If you were to compare the consistency of the mantle to a type of food, what would best describe it? please helpCarefully reread the text you have chosen, and look for 50100 words that stand out in the prose passage. Highlight or underline details, words, and phrases that you find powerful, moving, or interesting.2. On another sheet of paper, make a list of the details, words and phrases you underlined, keeping them in the order that you found them. Skip a line between the words so that they are easy to work with.3. Look back over your list and cut out everything that is dull, or unnecessary, or that just doesnt seem right for the poem. Try to cut your original list in half, so that you have 2550 words.4. Make any minor changes necessary to create your poem. You can change punctuation and make little changes to the words to make them fit together (such as change the tenses, possessives, plurals, and capitalizations).5. When youre close to an edited-down version, if you absolutely need to add a word or two to make the poem flow more smoothly, to make sense, or to make a point, you may add up to two words of your own. Thats two (2) and only two!6. Read back over your edited draft one more time and make any deletions or minor changes.7. Check your words, and choose a title is there a better title than Found Poem?8. Copy the words and phrases into your journal or type them in a word processing program. Space or arrange the words so that they are poem - like. Pay attention to line breaks, layout, and other elements that will emphasize important words or significant ideas in the poem. Which excerpt from The Odyssey best shows Odysseus demonstrating the epic hero traits of strength andLeadership?