A 500g cart moving at 0.25 m/s collides and sticks to a stationary 750g cart. How fast do the two carts
move after the collision? Sketch a diagram and use vectors to represent the velocities.

Answers

Answer 1

Answer:

0.1 m/s

Explanation:

Please see attached photo for explanation.

Mass of 1st cart (m₁) = 500 g

Initial velocity of 1st cart (u₁) = 0.25 m/s

Mass of 2nd cart (m₂) = 750 g

Initial velocity of 2nd cart (u₂) = 0 m/s

Velocity (v) after collision =.?

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(500 × 0.25) + (750 × 0) = v(500 + 750)

125 + 0 = v(1250)

125 = 1250v

Divide both side by 1250

v = 125 / 1250

v = 0.1 m/s

Thus, the two cart will move with a velocity of 0.1 m/s after collision.

A 500g Cart Moving At 0.25 M/s Collides And Sticks To A Stationary 750g Cart. How Fast Do The Two Cartsmove
Answer 2

The velocity of the cart will be 0.1 m/sec.Velocity is the rate of change of displacement. Its unit is m/sec.

What is the law of conservation of momentum?

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

The given data in the problem is;

(m₁)  is the mass of  cart 1 = 500 g

(u₁)  is the initial velocity of  cart  1= 0.25 m/s

(m₂) is the mass of 2nd cart = 750 g

(u₂) is the initial velocity of 2nd cart  = 0 m/s

(v)  is the velocity after collision =.?

According to the law of conservation of momentum;

Momentum before collision =Momentum after collision

[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\(500 \times 0.25) + (750 \times 0) = v \times (500 + 750) \\\\ 125 + 0 = v \times (1250) \times 125 \\\\ \rm v= \frac{125}{1250} \\\\ \rm v== 0.1 m/sec[/tex]

Hence the velocity of the cart will be 0.1 m/sec.

To learn more about the law of conservation of momentum refer;

https://brainly.com/question/1113396


Related Questions

Standing on a skateboard and shoot a paintball gun at your friend

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Answer:

ok

Explanation:

Answer:

shooting

Explanation:

i hope you're joking

identify and explain the climate cycle shown
below. Illustrate how conditions change during
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Answer:

wnd change

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You are designing a ski jump ramp for the next Winter Olympics. You need to calculate the vertical height h from the starting gate to the bottom of the ramp. The skiers push off hard with their ski poles at the start, just above the starting gate, so they typically have a speed of 2.0 m/s as they reach the gate. For safety, the skiers should have a speed of no more than 30.0 m/s when they reach the bottom of the ramp. You determine that for a 77.0 kg skier with good form, friction and air resistance will do total work of magnitude 4000 J on him during his run down the slope.

Required:
What is the maximum height h for which the maximum safe speed will not be exceeded?

Answers

Answer:

h = 40.37 m

Explanation:

We will apply the law of conservation of energy to the skier in this case, as follows:

[tex]Energy\ of\ skier\ at\ the\ gate = Energy\ of\ Skier\ at\ the\ end\\P.E + K.E_{i} = K.E_{f} - W_{friction}\\mgh + \frac{1}{2}mv_{i}^2 = \frac{1}{2}mv_{f}^2 - W_{friction}\\\\mgh = \frac{1}{2}m(v_{f}^2-v_{i}^2) - W_{friction}[/tex]

where,

m = mass of skier = 77 kg

g = acceleration due to gravity = 9.81 m/s²

vf = final speed = 30 m/s

vi = initial speed = 2 m/s

W_friction = Work done by friction and air resistance = 4000 J

Therefore,

[tex](77\ kg)(9.81\ m/s^2)h = \frac{1}{2}(77\ kg)[(30\ m/s)^2-(2\ m/s)^2] - 4000\ J\\\\h = \frac{34496\ J - 4000\ J}{755.37\ N}\\\\[/tex]

h = 40.37 m

Why does the globe lean to the left?


A.

Earth rotates on its axis.


B.

Earth rotates around the sun.


C.

Earth is on a tilted axis.


D.

Earth is on a vertical axis

PLEASE HURRY

Answers

Answer:

Earth is on a tilted axis.

Explanation:

A ball is thrown vertically upwards with a velocity
of 30 m/s. Find the greatest height attained
A. 40 m B.50 m C.55 m D.45 m

Answers

Answer:

Explanation:

The acceleration of gravity is 9.8m/s^2.

So to calculate the time it will take to make the ball stop(which btw means the ball now reach its greatest height), use the formula V1=V0+at. V1 is the final velocity(which is 0), V0 is the starting velocity(which is 30m/s), and the a(cceleration) is 9.8m/s^2.

(You can ignore the fact "at" is -30 instead 30, it's because the directions two velocity travel are opposite. )

We can now know the time it takes to make the ball stop just by the gravitational force is about 3 sec.

Use another formula S=1/2at^2, to find out the S(height) is 1/2*9.8*3^2=44.1, which is approximately D.45m .

force is measured by: a) ammeter b) spring balance c) two pan balance d) ruler​

Answers

Answer:

force can also be considered as weight so

Spring balance is used for measuring Force.

Explanation:

Is measured by Spring balance.

As a ball is released inside Earth's gravitational field and begins to fall to the ground

HELP ASAP PLS


A) there is no gravitational potential energy between them



B) the amount of gravitational potential energy stays the same.



C) the amount of gravitational potential energy increases.



D) the amount of gravitational potential energy decreases.

Answers

Answer:

D

Explanation:

forecasted for the miscommunication between range and the other day

Which statement about acceleration is FALSE?
Group of answer choices

A. A car which is slowing down is accelerating

B. When acceleration and velocity are in opposite directions, acceleration is positive

C. If an object changes its direction of motion, its acceleration changes

D. A car which is speeding up is accelerating

Answers

answer: A) a car which is slowing down is accelerating

that is a false statement

I need help with these questions please help


25 points

Answers

Answer:

A) 0.12 m

B) 11.5 degrees

A) Two convex lenses

D) Amplitude

A) 491.8 m

B) 2.92 m

C) 9.677 MHz

I couldn't see the options for number eight, so I'm unsure if this is correct, but I got 507.7 K in my calculations.

What is the acceleration of a rocket ship that takes 5.0 seconds to increase its speed from 1240 m/s to 1300 m/s?

Answers

Answer:

12 m/s²

Explanation:

Acceleration = change in velocity / time

a = (1300-1240) / 5

a = 60 / 6

a = 12

Answer:

[tex]\boxed{\text{\sf \Large 12 m/s^2 $}}[/tex]

Explanation:

Use acceleration formula

[tex]\displaystyle \text{$ \sf Acceleration=\frac{Change \ in\ velocity}{Time \ taken} $}[/tex]

[tex]\displaystyle a=\frac{1300-1240}{5.0} =12[/tex]

if you dropped your cell phone from a height of 1.20 m above the ground, with what speed would it strike the ground

Answers

ωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωZ?

Answer: 11.8 m/s

Explanation: Multiply the height, 1.20 m by 9.8. This is because on earth free falling objects have a speed of 9.8 m/s^2 downward.

All of the following are shaped by learned behavior except __________. A. shyness B. blinking C. biting one’s nails D. angry responses

Answers

Blinking, that’s an involuntary behavior

Answer:

B) Blinking .

Explanation:

An open pipe is 1.42 m long.
What is the third harmonic
frequency that it produces?
(Speed of sound = 343 m/s)
(Unit = Hz)
please help me guys

Answers

Answer:

f(3) = 362.32 Hz

Explanation:

the formula of frequency of open pipe is

f(n) = (n+1)v/2L

n = 0,1,2,3,... (the order)

0 for the first

1 for the second

v = speed of sound

L = the lenght of pipe

f(3) = (2+1) * 343 / 2 * 1,42

f(3) = 3 * 343 / 2.84

f(3) = 362.324 Hz (or you can write 362.32 Hz

Answer: 362.32

Explanation:

who is Dr. Wu Lien-teh

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Answer:

my mom

Explanation:

she gave birth to me!

Answer: Wu Lien-teh, was a Malayan physician renowned for his work in public health, particularly the Manchurian plague of 1910–11.

Explanation:

X_X

Andres buys a new scooter. He goes 8 Km north from the beach. He then
travels 5 Km to the east. Then chases a friend 8 Km north. What distance
did he cover?
What was Andres's displacement?

Answers

Answer:

Distance: 21km

Displacement: ~16.76km

The mass of the hanging mass is m and the mass of the cart is M . You can assume that the floor over which the mass hangs has been chosen as the zero point of gravitational potential energy. If the hanging mass is at a height h above the floor, and has not yet been released, what type(s) of energy is/are present in the system

Answers

Answer:

Gravitational Potential Energy

Explanation:

Gravitational potential energy is energy an object possesses because of its position in a gravitational field  (Hyper Physics). The potential energy is the energy that is stored in an object due to its position relative to some zero position(Physics Classroom).

For a body held at a height (h), the gravitational potential energy is capable to do work once the object is released from the height (h)

8. Two perpendicular forces, one of 45.0 N directed upward and the other of 60.0 N directed to the
right, act simultaneously on an object with a mass of 35.0 kg. What is the magnitude of the
resultant acceleration of the object?
a) 2.14 m/s
b) 5.25 m/s
c) 3.00 m/s
d) 1.41 m/s

Answers

Answer:

[tex]a=2.14\ m/s^2[/tex]

Explanation:

Force in upward direction = 45 N

Force in right side = 60 N

Mass of the object, m = 35 kg

Net force on the object is given by :

[tex]F=\sqrt{45^2+60^2} \\F=75\ N[/tex]

We know that,

F = ma

Where

a is acceleration of the object

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{75\ N}{35\ kg}\\\\a=2.14\ m/s^2[/tex]

So, the acceleration of the object is [tex]2.14\ m/s^2[/tex].

Momentum=mass X velocity

Total Momentum Before Collision = Total Momentum After Collision


momentum object 1 + momentum object 2 = Momentum object 1 + momentum object 2

m1 v1 + m2v2 = m1 v1 + m2v2

1. You are given the following data about a golf club hitting a stationary golf ball:

mass of club head = 0.350 kg

mass of golf ball = 0.046 kg

speed of club head before collision = 38 m/s

speed of club head after collision = 29 m/s

Calculate the following

A. momentum of club head before collision

Answer=_____________________

B. momentum of club head after collision


Answer=_____________________

C. momentum of golf ball before collision


Answer=_____________________

D. momentum of golf ball after collision


Answer=_____________________

E. Velocity of the golf ball after it is hit by the golf club


Answer=_____________________


2. You are given the following data about a bowling ball hitting a stationary bowling pin:

mass of bowling ball = 7.0 kg

mass of bowling pin = 1.5 kg

speed of bowling ball before collision = 11 m/s

speed of bowling ball after collision = 6 m/s


Calculate the following:

A. momentum of bowling ball before collision


Answer=_____________________

B. momentum of bowling ball after collision


Answer=_____________________

C. momentum of bowling pin l before collision


Answer=_____________________

D. momentum of bowling pin after collision


Answer=_____________________

E. speed of the bowling pin after it is hit by the bowling ball


Answer=_____________________

Answers

Answer:

Hope it helped

stay safe, mark BRAINLIEST

What are the ways of increasing voltage across a capacitor?
Select all that apply.

Group of answer choices

a. Decrease the plates' separation distance

b. Decrease supply battery voltage

c. Decrease the plates' surface area

d. Increase the plates' the plates' separation distance

e. Increase the plates' surface area

f. Increase supply battery voltage

Answers

Answer:

f. Increase supply battery voltage

Explanation:

I just took the test.

If the radius of the Earth decreases to one fourth (1/4) its original size, what would your NEW weight become
1. 4 times as much
2.1/4 as much
3.16 times as much
4.1/16 as much

Answers

Answer:

1/4 as much

Explanation:

I don't know the explanation

In order to know how a force will affect an object, you must know the _______________.
inertia
weight
direction
gravity

Answers

Answer:

needs to know direction

is the force on a dropped ball.
Ogravity
O acceleration

Answers

Answer:

The force applied to any falling object would be gravity. An object cannot fall if there is not gravity; it would simply float.

Is the intensity of light directly or inversely proportional to the concentration according to Beer-lambert's law?

Answers

Answer:

directly proportional

Explanation:

The Beer-Lambert law states that the quantity of light absorbed by a substance dissolved in a fully transmitting solvent is directly proportional to the concentration of the substance and the path length of the light through the solution.

Newton discovered that sunlight was composed of colors.


True or False

Answers

Answer:

True

Newton's Rainbow. In the 1660s, English physicist and mathematician Isaac Newton began a series of experiments with sunlight and prisms. He demonstrated that clear white light was composed of seven visible colors.

Explanation:

Hope it helps

What is the displacement of a person walking 20 m North, and then walks
20 meters South. *

Answers

0,0 if you’re looking for plot .

HELP URGENT WILL GIVE BRAINLIEST

Answers

i think it’s B. I just makes most sense in my opinion.

11. Find the direction of the Force

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Answer:

We answer that before but I forgot

Can you please answer these ASAP!

I will give brainliest to the person who answers it first and it must be an actual answer,

PLZ!!

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Answer:

Let's explain this briefly.

Suppose that we have a piece of ice (this is, solid water) now we give energy to the piece of ice, so the temperature of the ice increases. There is a point where the piece of ice will start a change of phase, at this point the temperature of the ice stops increasing because all the energy we give to the ice is used in the change of phase.

Once we have a complete change of phase, the temperature can increase again, and now we will have liquid water.

If we keep increasing the temperature we will see this happen again, when we have the transition from liquid to gas.

(and a similar thing happen when we have a material in a given phase and we remove heat from the material).

In the images we can see the different changes of phase of water.

1) In the first image we can see the circle in a part where the temperature is constant, so the temperature does not change in this part, which means that there is a change of phase happening.

2) Here we have the circle in a diagonal line, so here the temperature is changing, meaning that we have an increase of temperature in this region.

3) Here we want to know what the x-axis represents, this should rerpesent the energy that is being given to the material (so in some parts we see that the temperature increases and in other parts we see that the material changes of phase)

Then here the correct option is heat over time.

4) The freezing point is the temperature in which the change of phase from liquid to solid happens (or solid to liquid).

In the graph we can see that this change of phase happens at the temperature T = -210°C

Then the correct option is -210°C (The last option)

I need help. Please just help me.

Answers

Answer:

.

Explanation:

A ball rolls down an inclined plane with a constant acceleration of 2.5 m/s/s. How fast is the ball traveling after 3 seconds

Answers

7.5 m/s just multiply the two values
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