Question

Suppose that we have two masses, m1 and m2, traveling at initial velocities v1i and v2i . After they collide, they will have velocities v1f and v2f . The collision will happen along a straight line, and there are no external forces involved. Answer all exercises.

Exercise 2

For the collision above what is are the initial and final kinetic energies? Is kinetic energy conserved in the collision?

Exercise 3

Let m1 = 500 g, m2 = 500 g, v1i = 0.45 m/s, and v2i = 0.0 m/s. If v1f = 0.225 m/s, what is v2f ? Simply stated, what would you say about the two masses after the collision? What type of collision is this?

Answer #1

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Two
gliders with different masses (m1 and m2) are placed on a
frictionless air track and given initial velocities v1i and v2i.
They elastically collide, bouncing off each other. (a) Determine
the equations for the final velocity of each glider. (b) For m1 =
0.51 kg, m2 = 0.98 kg, v1i=1.5 im/s, and v2i=-2.2 im/s, find v1f
and v2f.

(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...

a 30 g ball, m1, collides perfectly elastically with a 20 g
ball, m2. if the initial velocities are v1i= 50.0 cm/s to the right
and v2i = -30.0 cm/s to the left, find the final velocities v1f and
v2f. Compute the initial and final momenta. Compute the initial and
final kinetic energies.

A glider of mass m1 = 8 kg has a velocity
v1i = +2 m/s before colliding
with a second glider of mass m2 = 4 kg, moving
with velocity v2i = -4 m/s.
After the collision the first glider has a velocity of
v1f = -1 m/s. This collision
is
Elastic
Partially inelastic
Totally inelastic
Impossible
A glider of mass m1 = 8 kg has a velocity v1i = +2 m/s before
colliding with a second glider of mass...

Suppose we are looking at a collision of two masses in 1D. The
masses are m1 and m2, their initial velocities are V10 and V20 and
their final velocities are v1 and v2. Momentum is conserved in this
collision which means that it should be possible to express v2 in
terms of v1 and other constants.
a) determine the final speeds of m1 and m2 in terms of v1 and
other constants
b) determine the initial and final kinetic energies...

A block of mass m1 is traveling to the right with a velocity of
v1i. A block of mass m2 is traveling to the left at v2i. Both are
on a frictionless, flat surface. Let the speed v2i = (1/2)v1i and
m2 = 3m1.
The two blocks collide elastically.
(1) What is the final velocity of block m1 (in terms of
v1,i)?
(2) What is the final velocity of block m2 (in terms of
v1,i)?
(3) What is the change...

In the lab frame two masses, m1=10 kg and
m2=6 kg collide elastically in one dimension with
initial velocities v1=17 m/s and v2=3
m/s.
Calculate the kinetic energy of mass mn after the
collision, where n=2.
Enter responses using three significant digits.

A ball, m1 = 0.1 kg, having initial velocity v1i = 0.5 m/s hits
a stationary ball in a glancing collision. After the collision the
balls have final speeds v1f = 0.4 m/s and v2f = 0.2 m/s and ball 1
bounces back at an angle of 110 degrees relative to its incident
trajectory.
a) Sketch diagrams of the balls before and after the collision.
Include a co-ordinate system and label all relevant angles and
velocities.
b) Write down algebraic...

Two blocks of masses m1 = 1.95 kg and m2 = 3.90 kg are each
released from rest at a height of h = 6.00 m on a frictionless
track, as shown in the figure below, and undergo an elastic head-on
collision. (Let the positive direction point to the right. Indicate
the direction with the sign of your answer.) Two blocks are on a
curved ramp similar in shape to a half-pipe. There is a flat
horizontal surface with opposite...

Consider an elastic collision in one dimension that involves
objects of mass m1=2 kg and m2=11.3 kg. The
larger mass is initially at rest, and the smaller one has an
initial velocity of 16 m/s. Find the final velocities of the two
objects after the collision.
v1f
v2f

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