Question

Two objects that are constrained to move in the
*xy*-plane undergo a collision. Object 1 has mass 2.3 kg and
its initial momentum just before the collision has the *x*-
and *y*-components 15.1 kg⋅m/s and -6.9 kg⋅m/s,
respectively. Object 2 has mass 4.7 kg and the *x*- and
*y*-components of its initial momentum are 3.5 kg⋅m/s and
6.5 kg⋅m/s. Immediately after the collision the *x*- and
*y*-components of object 1’s final momentum are 13.8 kg⋅m/s
and 4.3 kg⋅m/s.

a Calculate the final total kinetic energy of the two objects, in joules.

b Calculate the change in the internal energy of the two objects, in joules.

Answer #1

2 objects, moving in one dimension, undergo an isolated
collision. Object 1 has initial velocity 1 m/s. Object 2 has an
initial velocity -3 m/s. After the collision, the relative velocity
of the 2 objects is vAB=+2 m/s. The reduced
mass of the two objects is ⅔ kg. What is the change in total
kinetic energy of the entire system during this
collision? Express your answer in units of Joules.

Two rubber objects undergo a collision that we will approximate
as being elastic. The first object has mass 12.0 kg, and the second
object has mass 12.0 kg. Before the collision, the first object is
traveling at 4.00 m/s and the second object is traveling at -4.00
m/s (negative meaning in the opposite direction).
What is the velocity of the second object, after the
collision?

Two rubber balls undergo an elastic collision. Ball 1 has a mass
of 10 kg and an initial velocity of 5 m/s in the positive x
direction. Ball 2 has a mass of 10 kg and is
stationary. What is the final velocity of the two
balls, v1f, and v2f?

Object A has mass
mA
= 8
kg and initial momentum
A,i
= < 19,
-5,
0 > kg
·
m/s, just before it strikes object B, which has mass
mB
= 11
kg. Just before the collision object B has initial momentum
B,i
= < 6,
6,
0 > kg
·
m/s.
Consider a system consisting of both objects A and B. What is the
total initial momentum of this system, just before the
collision?
sys,i =
kg
·...

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...

Object A has mass mA = 10 kg and initial
momentum A,i = < 20, -5, 0 > kg · m/s,
just before it strikes object B, which has mass
mB = 14 kg. Just before the collision object B
has initial momentum B,i = < 3, 5, 0 > kg
· m/s.
Consider a system consisting of both objects A and B. What is
the total initial momentum of this system, just before the
collision?
P sys,i =
The...

Object A has mass mA = 7 kg and initial
momentum A,i = < 22, -6, 0 > kg · m/s,
just before it strikes object B, which has mass
mB = 10 kg. Just before the
collision object B has initial momentum B,i =
< 2, 7, 0 > kg · m/s.
Consider a system consisting of both objects A and B. What is
the total initial momentum of this system, just before the
collision?
sys,i =
<24,1,0>
kg ·...

Two objects of mass 1.7 kg and 2.9 kg move with velocities (2.2,
0.5) and (2.9, 4.0) respectively (the two numbers are the x and y
components of the velocity in m/s). The two objects collide and
stick together. Find the x and y components of their common final
velocity and enter the magnitude (length) of the final velocity in
m/s into the answer box.

Two objects collide in a totally inelastic collision. Just
before the collision,
the objects have the following masses and velocities:
M1 = 4.5 kg, v1 = 1.5 m/s @ 140o. M2 = 1.5 kg, v2 = 1 m/s @
180o.
a) Find the velocity of the object after the collision.
b) How much kinetic energy was lost in the collision.

Consider two objects which collide. The first object has a mass
of 1 kg which is moving with an initial velocity of 4 m/s to the
right. It hits a second object of 4 kg which is initially moving
with an initial velocity of 4 m/s to the left. After the collision,
the second object is moving 2 m/s to the left.
What is the final velocity of the first object? Show your
work.
a)2.82 m/s to the left
b)2.82...

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