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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(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.

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.

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...

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...

A car with mass M1 “ 2700 kg collides with a car of mass M2 “
3200 kg. Before the collision car 1 has velocity ⃗v1i “p6m{s,
́14m{sqandcar2hasvelocity⃗v2i “p15m{s,0q. (a) What is the total
momentum of the two cars? (6 pts) (b) Immediately after the
collision the velocity of car 1 is ⃗v1f “ p14 m{s, ́6 m{sq. What is
the velocity ⃗v2f of car 2 after the collision? (9 pts)

A car of mass m1 = 2000.0 kg is moving at speed v1i = 20.0m/s
towards East. A truck
of mass m2 = 5000.0 kg is moving at speed v2i = 10.0m/s towards
North. They collide at an
intersection and get entangled (complete inelastic
collision).
1. What is the magnitude and direction of the final velocity of the
entangled automobiles?
2. How much kinetic energy is lost in the collision. That is,
calculate the change in the
kinetic energy of...

carts of masses m1 = 100 g and m2 = 900 g
are on a horizontal, smooth track. The first car is moving at v =
16 m/s toward the second car which is at rest. (a) Find the
velocity of the cars after collision if the stick together. (b)
What fraction of the initial kinetic energy was lost in the
collision? (c) Find the velocity of the cars after collision if the
collision is elastic. (d) What fraction of...

Two masses collide in an elastic collision,
with the following initial values:
m1 = 2 kg
m2 = 3 kg
v01 = 5 m/s
v02 = -4 m/s
Use the conservation rules, and algebra, what is the final
velocity of mass 1, vf1 in m/s?

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.

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