Question

1. A mass *m**a**=2m*, with an initial
velocity of 4 m/s, and a mass *m**b**=m*,
initially at rest, undergo an elastic collision. Calculate their
final velocities after the collision.

2. A mass *m**a**=2m*, with an initial
velocity of 4 m/s, and a mass *m**b**=m*,
initially at rest, undergo a perfectly inelastic collision.
Calculate the final velocity after the collision and the
kinetic-energy loss.

3. A moving mass,*m**1*, collides perfectly
inelastically with a stationary mass,*m**2*. Show
that the total kinetic energy after the collision,
*K**f*, is equal to
*m**1/(**m**1**+**m**2)***K**i*
, where *K**i* is the initial kinetic energy of this
system.

4. Show mathematically that the kinetic energy of a moving
particle with momentum *p* can be written as

*K=**p^**2/**2m*.

Answer #1

A) A block of mass m1=6.0 kg is initially moving at 5.0 m/s to
the right and collides inelastically with an initially stationary
block of mass m2=18.0 kg. The two objects become stuck together.
Find the final velocity of the two blocks.
B) A block of mass m1=6.0 kg is initially moving at 5.0 m/s to
the right and collides elastically with an initially stationary
block of mass m2=18.0 kg.
After the collision, block m2 is moving to the right...

A bullet of mass ma= 0.01 kg moving with an initial
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(a) Suppose you have a one-dimensional collision with m1 = 385 g
and m2 = 390. g. The initial velocities are given to be v1i = 2.40
m/s, v2i = -1.30 m/s, and the final velocity of m2 is v2f = 1.30
m/s. What is the final velocity of m1 ?
______ m/s
(b) What are the initial and final kinetic energies of this
system, before and after the collision?
ki = ______ J
kf = _______ J
(c) is...

5. [1pt]
Consider a perfectly elastic collision between two objects of equal
mass. Object 1 is initially moving with a velocity v = 3.04 m/s
while object 2 is at rest. What are the final velocities after the
collision? Enter the final velocity of object 1 first.
Answer 1 of 2:
Answer 2 of 2:
6. [1pt]
If the objects have masses m1 = 1.69 kg and
m2 = 4.04 kg, what are the final velocities of the
objects after...

A 5.0-kg mass moving at 8.0 m/s collides head-on with a 3.0-kg
mass initially at rest If the collision is perfectly elastic, what
is the speed of the masses just after the collision? Is the kinetic
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A mass (m) moves along the x-axis with velocity 2v. Another
particle of mass (2m) moves with velocity v along the y-axis.
1) If the two objects collide inelastically and merge, how much
kinetic energy is lost to heat?
2) If instead they collide elastically and it turns out that m
still moves purely along the x-axis, what is it's velocity in the
final state?
It may help to find the velocities of these particles in the
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An object of mass m1 approaches with velocity v1 another object
of mass m2, which is at rest, next to a spring having force
constant k. The spring is fixed to a wall and m2 can compress the
spring. This is one-dim horizontal collision without friction. We
consider two collision scenarios, one which is perfectly inelastic,
and the other which is elastic. (a) In the first collision case the
object m1 strikes m2 and sticks. Moving together, they compress the...

A ball of mass m1=0.250 kg and velocity v1=5.00 m/s
[E] collides head-on with a ball of mass m2=0.800 kg that is
initially at rest. No external forces act on the balls.
a. Show what is conserved through the appropriate formula if the
collision is elastic.
b. What are the velocities of the balls after the
collision?

6) Mass 1 of 6 kg is initially moving at 9 m/s in the +x
direction and it collides perfectly elastically with mass 2 of 3 kg
initially at rest. What is the final velocity of mass 2 after the
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question.)

A 1.0kg object initially moving with a velocity of 3.0m/s to the
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velocities of the two objects after the collision? b) Using the
given initial data for the two-object system as well as your
results, show that the total kinetic energy is conserved for this
elastic collision.

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