Question

Mass A has an initial velocity of 53 m/s in the +x-direction. Mass B is two times more massive than mass A and has an initial velocity of 53 m/s in the −x-direction. If the two masses have an elastic collision, what will be the final velocities (in m/s) of the masses after the collision? (Indicate the direction with the sign of your answer.) mass A m/s mass B m/s

Answer #1

In an elastic collision both momentum and kinetic energy is conserved.

We assume A and B has masses *m _{1}*,

So according to the conservation of momentum,

According to the conservation of kinetic energy,

Solving these two equations for v_{1} and v_{2}
we get,

Now putting u_{1} = 53 , u_{2} = -53 and m2 =
2m_{1},

We get,

So A will have a speed of 88.33m/s in the -X axis and B will have 17.66m/s in the +X axis.

A mass of is initially moving in the 2.5 m/s in the +x direction
and collides in a perfectly elastically with a mass of moving in
the -x direction at 7.6 m/s. After the collision, the mass that was
moving in the +x direction originally is moving in the -x direction
at 8.6 m/s. What is the velocity of the other mass after collision
in m/s? Indicate -x direction, by including a negative sign.

1. A mass ma=2m, with an initial
velocity of 4 m/s, and a mass mb=m,
initially at rest, undergo an elastic collision. Calculate their
final velocities after the collision.
2. A mass ma=2m, with an initial
velocity of 4 m/s, and a mass mb=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,m1, collides perfectly
inelastically with a stationary mass,m2. Show
that the total kinetic energy...

Two objects moving in the positive x direction have a perfectly
inelastic collision. The first object has a mass of 12 kg and a
velocity of 4 m/s. The second has a mass of 7 kg and a velocity of
1 m/s. (a) What is the velocity of the center of mass of the
system? (b) What are the velocities of the masses in the center of
mass frame? (I.e., imagine that you are moving with a velocity
v cm....

8) 3 kg mass moving with 10 m/s in the x-direction hits a 5 kg
mass at rest. After the collision 3 kg is deflected by 30 degree
while the 5 kg is deflected by 45 degrees.a) Draw a diagram for the
initial and final motion including the directions of the
velocitiesb)
Find the final velocities of each massc) Determine if the
collision is elastic or not.d) Qualitatively, show the direction of
the impulse (or the Force) on 3kg due...

Mass A (8.5 kg) slides across a frictionless surface with a
velocity of 6 m/s in the positive direction. Mass B (8.5 kg) slides
across the same surface in the opposite direction with a velocity
of
?12 m/s.
The two objects collide and stick together after the
collision. Calculate the center-of-mass velocity (in m/s) of the
system both before and after the collision. (Indicate the direction
with the sign of your answer.)

Two parts:
a) An X1=20 kg mass, moving with an initial
velocity vx,i,1=5m/s collides
elastically in one-dimension with an X2=30 kg
mass, moving with an initial velocity
vx,i,2=7m/s. Determine the final
velocities of the two masses, after the collision (remember to keep
track of positive vs. negative velocities!). Verify your answer
using conservation of KE.
b) (the inverse of the inelastic collision problem, and similar
to the Hunter Thompson problem from class): An 20
kg mass, on the ground, fires...

An object with velocity 1.4 m/s i and mass 0.27 kg collides with
an object whose velocity is -2.5 m/s i and whose mass is 0.12 kg.
The motion takes place in one dimension. (a) What are the final
velocities of the objects if the collision is elastic? b.) What is
the total initial kinetic energy in the collision?

A mass is moving at 6 m/s in the +x direction and it collides in
a perfectly elastic collision with a mass of 5 kg moving in the -x
direction. The collision takes places in 0.25 seconds and after the
collision the mass that was moving in the +x direction is moving in
the -x direction at 6 m/s and the mass that was moving in the -x
direction is moving in the +x direction at 13 m/s. What is...

A mass is moving at 8 m/s in the +x direction and it collides in
a perfectly elastic collision with a mass of 4 kg moving in the -x
direction. The collision takes places in 0.20 seconds and after the
collision the mass that was moving in the +x direction is moving in
the -x direction at 9 m/s and the mass that was moving in the -x
direction is moving in the +x direction at 11 m/s. What is...

A mass is moving at 7 m/s in the +x direction and it collides in
a perfectly elastic collision with a mass of 2 kg moving in the -x
direction. The collision takes places in 0.19 seconds and after the
collision the mass that was moving in the +x direction is moving in
the -x direction at 9 m/s and the mass that was moving in the -x
direction is moving in the +x direction at 15 m/s. What is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 39 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago