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

Answer 1

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)



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Related Questions

Which of the following is not considered a bloodborne pathogen

Answers

Influenza virus is not considered  as a bloodborne pathogen. The correct answer is option D.

Bloodborne pathogens are infectious microorganisms that can cause disease when transmitted through contact with infected human blood or other body fluids.

They can include viruses, bacteria, and other microorganisms that can cause serious illness or even death.

Influenza virus is not considered a bloodborne pathogen because it is primarily a respiratory virus that spreads through droplets when an infected person talks, coughs, or sneezes.

It can also spread through contact with contaminated surfaces or objects, but it is not primarily transmitted through contact with blood or other body fluids.

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The probable question may be:

Which of the following is not considered a bloodborne pathogen

A. Hepatitis B virus

B. Human immunodeficiency virus (HIV)

C. Hepatitis C virus

D. Influenza virus

11 When you stand on scales you see your mass in kg. Explain whether
it is your mass or your weight that makes the scales work.

Answers

When yоu stаnd оn а scаle, thе reаding thаt yоu sее is аctuаlly а meаsurement оf thе forсe thаt yоur bоdy is еxеrting оn thе scаle.

What makes the scale work

This forсe rеsults frоm thе grаvitаtiоnаl аttrаctiоn between yоur bоdy аnd thе eаrt. Тhe scаle meаsures thе forсe with а sрring or а string gаuge, cоnverts thе reаding tо а morе рrecise meаsurement in kilogrаms, аnd finаlly reсords thе rеsult.

Thus, thе scаles operаte bаsed оn thе forсe еxеrtеd by yоur bоdy, whiсh is dirеctly proportiоnаl tо yоur wеight. Тhe forсe оf grаvity аcting оn аn оbject is cаlled wеight, аnd it vаries bаsed оn thе mаss оf thе оbject аnd thе strength оf thе grаvitаtiоnаl field. On thе othеr hаnd, mаss is а meаsurement оf thе quаntity оf mаtter present in аn оbject аnd is cоnstаnt аcross time.

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What do you call burning organic waste. SAMBSIO?

Answers

Burning organic waste is often referred to as "incineration.

What is an "incineration?

It is a process in which organic waste is burned at high temperatures to convert it into ash and gas. Incineration is often used as a method of waste management to reduce the volume of waste and to eliminate potentially harmful organic materials, such as medical waste or hazardous chemicals.

However, incineration can also produce air pollution and greenhouse gas emissions, and there are concerns about the impact of incineration on human health and the environment. As a result, many communities and governments are exploring alternative methods of waste management, such as recycling and composting.

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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

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.

Some people think that we should try to live outside of the Earth (on the Moon, or even on Mars, for example). Write your ideas about this. Will this be possible some day soon? When will this happen? How are we going to live there? What will be different up there?

Answers

Living outside the Earth, on the Moon or Mars, is a future possibility with continued research.

Living outside of the earth

The idea of living outside of Earth has been a subject of interest for many years. While it may seem like a daunting task, it is definitely possible. Advancements in technology have made it easier to explore space and even establish human settlements on other planets.

Living on the Moon or Mars would require creating sustainable ecosystems that provide food, water, and oxygen for the settlers. It would also require building living quarters that can withstand the harsh environmental conditions on these planets.

However, we are still a long way from achieving this goal, and it will likely take several decades or even centuries before we can establish a permanent human presence on another planet.

Nonetheless, with continued research and development, we may one day be able to call another planet our home.

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Suppose 10.0 g of ice at -10.0C is placed into 300.0 g of water in a 200.0-g copper calorimeter. The final temperature of the water and copper calorimeter is 18.0C.

1) What was the initial common temperature of the water and copper? (Express your answer to three significant figures.)

Answers

The initial common temperature of the water and copper is approximately 2.68°C.

To find the hidden typical temperature of the water and copper, we need to use the norm of protection of energy, which communicates that energy can't be made or obliterated, recently moved or changed beginning with one design then onto the following.

The force lost by the ice as it breaks up is identical to the power obtained by the water and the calorimeter. We can impart this using the recipe:

Q_ice = Q_water + Q_calorimeter

where Q_ice is the force lost by the ice, Q_water is the power procured by the water, and Q_calorimeter is the force gained by the calorimeter.

We can determine the power lost by the ice using the recipe:

Q_ice = m_ice * L_f

where m_ice is the mass of the ice and L_f is the force of blend of water, which is 333 J/g.

Q_ice = (10.0 g) * (333 J/g) = 3330 J

We can sort out the force obtained by the water using the condition:

Q_water = m_water * c * (T_f - T_i)

where m_water is the mass of the water, c is the specific power breaking point of water, which is 4.184 J/g°C, T_f is the last temperature of the water and calorimeter, and T_i is the hidden ordinary temperature of the water and calorimeter.

Q_water = (300.0 g) * (4.184 J/g°C) * (18.0°C - T_i)

We can figure the force obtained by the calorimeter using the recipe:

Q_calorimeter = m_calorimeter * c_calorimeter * (T_f - T_i)

where m_calorimeter is the mass of the calorimeter, which is 200.0 g, c_calorimeter is the specific force breaking point of copper, which is 0.385 J/g°C, T_f is the last temperature of the water and calorimeter, and T_i is the hidden ordinary temperature of the water and calorimeter.

Q_calorimeter = (200.0 g) * (0.385 J/g°C) * (18.0°C - T_i)

Subbing these circumstances into the norm of conservation of energy, we get:

m_ice * L_f = m_water * c * (T_f - T_i) + m_calorimeter * c_calorimeter * (T_f - T_i)

Tending to for T_i, we get:

T_i = T_f - [(m_ice * L_f)/(m_water * c + m_calorimeter * c_calorimeter)]

T_i = 18.0°C - [(10.0 g) * (333 J/g)/(300.0 g * 4.184 J/g°C + 200.0 g * 0.385 J/g°C)]

T_i = 2.68°C

As needs be, the basic ordinary temperature of the water and copper was 2.68°C (conveyed to three immense figures).

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Mel adjusted, in a futile attempt to strengthen his pectoral muscles, stretches a spring exercise device 0.73 meters by exerting a force of 177N. What is the stiffness constant

Answers

In the case, Mel stretches a spring exercise device by 0.73 meters with a force of 177 N. We can use Hooke's law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its equilibrium position, to calculate the stiffness constant.

Hooke's law is given by the equation:

F = kx, where F is the force applied to the spring, k is the stiffness constant, and x is the displacement of the spring from its equilibrium position.

Plugging in the given values:

Force (F) = 177 N Displacement (x) = 0.73 m

We can rearrange the equation to solve for the stiffness constant (k):

k = F / x

Plugging in the values:

k = 177 N / 0.73 m

k ≈ 242.47 N/m (rounded to two decimal places)

Therefore, the stiffness constant of the spring exercise device is approximately 242.47 N/m.

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Will the placement of the continents on Earth look different in 100 million years than today?

Answers

Answer:

Yes

Explanation:

Continents is constantly moving, but at very slow rate.

This is due to the movement of the tectonic plate underneath the earth surface.

On average they move about 10 cm per year.

So in 100 million, they will move 10,000 km.

Of course, how the continents looks 100 million years from now will be very different than today.

Kinetic energy depends only on a system's_
Select all that apply
>
acceleration
height
mass
2
speed
volume

Answers

The answer for the I believe to be mass and speed

Answer: mass and speed

Explanation: Remember kinetic energy equals 1/2mv^2 so it is dependent on mass and velocity which is speed.

Two vectors with a magnitude of 5 and 12 have a dot product equal to -6. Find the angle between the vectors to the
nearest degree.

Answers

the angle between vectors is 1

let,  vector A,B and |A| =5 , |B| =12

According to dot product,

A.B = |A| |B| cos∝

-6 = 5x12cos∝

cos∝ = 0.99

nearly equal to 1

hence the angle between A and B is 1

A force acts on a particle that has a mass of 1.5 kg. The force is related to the position x
of the particle by the formula = 0.503 where if x is in meters and F is in newtons. (a)
What are the SI units of C? (b) Find the work done by this force as the particle moves from
= 3.0 to = 1.5 (c) At = 3.0, the force points opposite the direction of the
particle’s velocity (speed is 12.0m/s). What is its speed at = 1.5? (d) Can you tell its
direction of motion at using only the work–kinetic energy theorem? Explain your
calculations.

Answers

(a) F(x) = 0.503 x, where x is in meters and F is in newtons, is the formula given for the force. We can see that this equation's proportionality constant, C, must be expressed in newtons per meter. C is therefore measured in N/m in the SI.

The work done and direction

(b) The work done by the force as the particle moves from x = 3.0 m to x = 1.5 m can be calculated using the formula for work, which is W = ∫ F(x) dx, where the integral is taken over the distance moved. Therefore, we have:

W = ∫ 0.503 x dx from x = 3.0 to x = 1.5

W = [0.503/2 x^2] from x = 3.0 to x = 1.5

W = [0.503/2 (1.5^2 - 3.0^2)]

W = -1.129 J

The work done by the force is -1.129 joules.

(c) At x = 3.0, the force is given to be in the opposite direction to the particle's velocity. Therefore, the force is opposing the motion of the particle. We can use the work–kinetic energy theorem to determine the change in kinetic energy of the particle between x = 3.0 and x = 1.5, and hence its speed at x = 1.5. The work–kinetic energy theorem states that the net work done on an object is equal to its change in kinetic energy. Therefore, we have:

W_net = ΔK

In this case, the only force acting on the particle is the given force, and we have already calculated the work done by this force as -1.129 J. Therefore, we have:

W_net = -1.129 J

ΔK = 1.129 J (since the work done is negative, indicating a decrease in kinetic energy)

We can use the formula for kinetic energy, K = (1/2)mv^2, to find the particle's speed at x = 1.5. Therefore, we have:

ΔK = (1/2)m(v^2 - v_0^2)

1.129 = (1/2)(1.5)(v^2 - 12^2)

v^2 = 12^2 - (2/1.5)(1.129)

v^2 = 56.49

v = 7.52 m/s

The particle's speed at x = 1.5 is 7.52 m/s.

(d) kinetic energy theorem states that the net work done on an object is equal to its change in kinetic energy. In this case, the net work done by the given force Is -1.129 J, the initial kinetic energy of the particle (since we are told its speed at x = 3.0).

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When a wave reaches a surface, the new material absorbs all the energy of the wave.
O True

O False

Answers

Answer: true

Explanation: if the current element is above the current water level then it is true

true only if it’s above the current water level

I need help with this problem

Answers

If we rank these magnets from the strongest to the weakest magnetic field the correct order is 4, 3, 2, 1.

How does the magnetic field relate to the radius of a magnet?

The magnetic field and radius are related in the context of a charged particle moving in a circular path under the influence of a magnetic field. When a charged particle moves in a circular path under the influence of a magnetic field, the force on the particle is directed toward the center of the circle. In this force, the radius can be expressed as r = mv / Bq.

This equation shows that the radius of the circular path is directly proportional to the velocity of the particle, and inversely proportional to the magnetic field strength and the charge of the particle.

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how old is alizea Martínez​

Answers

Answer: She passed at 19 years old.

Explanation:

PLEASE HELP!!! 25 points

Answers

The statement that is true regarding the circuit shown in the question is I₁ > I₃ > I₂ (last option)

How do i know which statement is true?

To know the true statement, we shall determine the current flowing through each resistance. Details below:

For resistor 1

Resistance (R₁) = 2 Ω Voltage (V) = 12 V Current (I₁) =?

Voltage (V) = Current (I) × resistance (R)

12 = I₁ × 2

Divide both sides by 2

I₁ = 12 / 2

I₁ = 6 A

For resistor 2

Resistance (R₂) = 8 Ω Voltage (V) = 12 V Current (I₂) =?

Voltage (V) = Current (I) × resistance (R)

12 = I₂ × 8

Divide both sides by 8

I₂ = 12 / 8

I₂ = 1.5 A

For resistor 3

Resistance (R₃) = 5 Ω Voltage (V) = 12 V Current (I₃) =?

Voltage (V) = Current (I) × resistance (R)

12 = I₃ × 5

Divide both sides by 5

I₃ = 12 / 5

I₃ = 2.4 A

From the above calculation, we can see that I₁ > I₃ > I₂.

Thus, we can conclude that the true statement is I₁ > I₃ > I₂ (last option)

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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 of the wave is determined as is 40 sec.

(b) The amplitude of the wave is determined as is 10 mm

(c) The distance of the wave is determined as is 380 km

(d) The magnitude of the wave is determined as is 4.5

What is amplitude of a wave?

The amplitude of a wave is the maximum displacement or distance that a wave moves from its rest position to its crest (the highest point) or trough (the lowest point). In other words, it is the measure of the strength or intensity of a wave.

Question 1:

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

= 40 s

Question 2:

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

Question 3:

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

Question 4:

The corresponding magnitude of the wave is 4.5.

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Which of the rays drawn above would be correct as the light goes from the air into the water? (5 points)


A

B

C

Answers

The answer to this question is b

Answer:

First option A

Explanation:

Since the light is passing from air (less dense) into water (more dense), it is bends downwards.

The answer above is wrong because like I mentioned light bends when it goes through a medium and option B doesn't match that, so please don't use that answer.

Hope I helped and have a great day ahead.

A generator that is not producing voltage or current may have an open stator winding. True or False?

Answers

The answer is : False
The answer is: False

what happens according to newton if you let an untide ballon go?

Answers

Air will rush out of the balloon forcing the balloon to move through the air in the opposite direction, but equal in force.
According to Newtons 3rd law, air will rush out which forces the balloon to move through the air in opposite directions, but with the same amount of force.

How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food

A. The amount of oxygen in the atmosphere increased

B. Mass extinctions occurred

C. The oceans became larger

D. Rainfall increased

Answers

The amount of oxygen in the air was increased

dx=7.14 m and dy=-7.55 m find the direction

Answers

Explanation:

arctan ( -7.55/7.14) =  - 46.6 degrees     ( or  313.4 degrees)

calculate the electric field at the centre of a square 60cm on a side if one corneris occupied by a +45uC charge and the other three corners are occupied by -31uC charge

Answers

Answer:

E_total = 1.39 x 10^5 N/C

Explanation:

We can calculate the electric field at the center of the square using the principle of superposition. We will treat each charge as a point charge and calculate the electric field due to each charge, and then add them up vectorially.

Let's assume that the positive charge is located at the bottom-left corner of the square, and the negative charges are located at the other three corners. The distance from the charges to the center of the square is:

r = 60 cm / 2 = 30 cm

The electric field due to a point charge is given by Coulomb's law:

E = k*q / r^2

where k is the Coulomb constant, q is the charge, and r is the distance between the charge and the point where we want to calculate the electric field.

For the positive charge, we have:

E1 = k*q1 / r^2

E1 = (9 x 10^9 Nm^2/C^2)(45 x 10^-6 C) / (0.3 m)^2

E1 = 4.50 x 10^5 N/C

The electric field due to the negative charges is:

E2 = k*q2 / r^2

E2 = (9 x 10^9 Nm^2/C^2)(-31 x 10^-6 C) / (0.3 m)^2

E2 = -3.11 x 10^5 N/C

Since the negative charges are at opposite corners, the direction of the electric field due to each charge cancels out, so we only need to consider the magnitude of the electric field due to the negative charges.

The total electric field at the center of the square is:

E_total = E1 + E2

E_total = 4.50 x 10^5 N/C - 3.11 x 10^5 N/C

E_total = 1.39 x 10^5 N/C

The direction of the electric field at the center of the square is the direction of the net electric field due to the two charges, which is from the positive charge to the negative charges. This direction is along the diagonal of the square, at a 45 degree angle with respect to the sides of the square.

This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?

Answers

Based on the information, we can infer that A. represents a Mitochondria.

What is a mitochondria?

Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.

Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.

Note: This question is incomplete. Here is the complete information:

Attached image

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What force is responsible for the orbit of satellites?
- energy
- friction
- magnetism
- gravity

Answers

Gravity is the force responsible for the orbit of satellites. Gravity is an attractive force that acts between two objects with mass.

What is satellites?

Satellites are man-made objects that are sent into space to orbit around a planet or other celestial body. They are used for a variety of purposes, including communication, navigation, scientific research, weather forecasting, and more. Satellites are equipped with advanced technology that allow them to transmit signals and data back to Earth, helping to make our lives easier in many ways. They are powered by solar panels and come in a variety of shapes and sizes. They can be stationary, meaning they stay in the same position as they orbit, or they can be geostationary, meaning they stay in the same point relative to the Earth's surface. They are also capable of providing real-time data and images to Earth-based observers. By using satellite technology, we can gain a better understanding of our planet, its climate, and its inhabitants.

This force is what causes satellites to orbit around a planet or star, as the gravitational pull of the planet or star causes them to move in a curved path.

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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) workout what order

they would get to the bottom of the Slope!
B) How long will it take each shape to reach the bottom of the Slope ?

C) which shapes have the greater moment

of inertia ?

D ) determine the linear acceleration(a)
e) calculate the tangential (linear) Veloci ty of each shapes-​

Answers

The ring will have the greater moment of inertia.

Acceleration of a body rolling down an inclined plane without slipping is given by,

α = gsinθ/(1 + K²/R²)

Acceleration of the ring,

α = gsinθ/(1 + R²/R²)

α = 1/2 gsinθ

Acceleration of the sphere,

α = gsinθ(1 + 5/2)

α = 2/7 gsinθ

Acceleration of the solid cylinder,

α = g sinθ(1 + 1/2)

α = 2/3 gsinθ

The ring has the highest acceleration. Therefore, the ring will reach the bottom of the slope first.

The ring will have the greater moment of inertia among the three.

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From a sack of fruit containing 3 Apples ,2 Bananas ​, and 3 oranges ​, a random sample of 4 pieces of fruit is selected. Suppose X is the number of apples and Y is the number of bananas in the sample.
​(a) Find the joint probability distribution of X and Y.
​(b) Find ​P[(X,Y)​A], where A is the region that is given

Answers

The joint probability distribution of X and Y is 2/70 and 3/70.

The value of P[(X,Y)A], where A is the region that is given is 1/2.

How to calculate the probability

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The value of P[(X,Y)A], where A is the region that is given is:

= 0 + 2/70 + 3/70 + 3/70 + 18/70 + 9/70

= 35 / 70

= 1/2.

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Eli is a 9-year-old and his friend has asked him to share his test answers. Eli refuses to let his friend cheat off his paper because he does not want to get in trouble with the teacher Given Eli’s age and response, which stage of moral development did he demonstrate:

Group of answer choices

Preoperational

Conventional

Preconventional

Postconventional

Answers

The stage of moral development Eli demonstrated is Preconventional.

The early stage of moral development can be seen in preconventional morality. Up until about age nine, it persists. Children's decisions at this age are mostly influenced by what adults expect of them and the repercussions of disobeying them.

Morality is externally regulated at the preconventional level. In order to avoid punishment or gain rewards, people abide by the rules that are set forth by authority figures. According to this viewpoint, what is morally correct depends on one's ability to get away with it or what will make them feel good about themselves.

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A rifle with a weight of 30 N fires a 5.0-g bullet with a speed of 300 m/s. (a) Find
the recoil speed of the rifle. (b) If a 700-N man holds the rifle firmly against his
shoulder, find the recoil speed of man and rifle.

Answers

_______________________________

Notes:

1grain = 64.8mg

1newton = 100g

= 300 m/s (speed)

= 30 × 100

= 3,000g (rifle mass)

= 5-g × 64.8

= 324mg (bullet mass)

= 700 × 100

= 70,000g (human mass)

= 70,000g + 3,000g

= 70,300g (human + rifle mass)

A) Newton's 2nd Law of MotionM1 V1 = - m2 v2Vr = - mb ÷ mrVb = - (324 ÷ 3,000) 300= 32.4 m/sB) Newton's 2nd Law of MotionM1 V1 = - m2 v2Vr = - mb ÷ mr Vb = - (324 ÷ 70,300) 300= 1.39 m/s

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A 0.1 kg toy train car moving at 1.0 m/s runs into a stationary car with a mass of 0.15 kg. At what speed do they move off together?

Answers

We can use the conservation of momentum principle to solve this problem. According to this principle, the total momentum of a system of objects remains constant if there are no external forces acting on the system. In this case, we can assume that there are no external forces acting on the two cars after they collide, so the total momentum of the system before the collision must be equal to the total momentum of the system after the collision.

The momentum of an object is defined as its mass multiplied by its velocity:

momentum = mass * velocity

Before the collision, the momentum of the first car (m1) is:

p1 = m1 * v1 = (0.1 kg) * (1.0 m/s) = 0.1 kg⋅m/s

Since the second car is stationary, its momentum before the collision is zero:

p2 = m2 * v2 = (0.15 kg) * (0 m/s) = 0 kg⋅m/s

The total momentum of the system before the collision is:

p1 + p2 = 0.1 kg⋅m/s + 0 kg⋅m/s = 0.1 kg⋅m/s

After the collision, the two cars move together with a common velocity (v), so the momentum of the system is:

p = (m1 + m2) * v

We can set the total momentum before the collision equal to the total momentum after the collision:

p1 + p2 = p

0.1 kg⋅m/s + 0 kg⋅m/s = (0.1 kg + 0.15 kg) * v

0.1 kg⋅m/s = 0.25 kg * v

v = 0.1 kg⋅m/s ÷ 0.25 kg

v = 0.4 m/s

Therefore, the two cars move off together at a speed of 0.4 m/s after the collision.

What is the definition of physical activity?
A.
a movement that stimulates your respiratory system
B.
a movement that causes perspiration
C.
a movement that results in the body’s use of energy
D.
a movement that requires little effort

Answers

Answer:

C. a movement that results in the bodys use of energy

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