Question

A
sphere of radius 10 m and a mass m1 = 5 kg is rolling without
slipping on a horizotal surface with a velocity V = 20 m/s to the
East. It collides with a stationery sphere of mass m2 =15 kg. After
the collision both masses rolls in different directions and m1 with
a velocity V = 5 m/s.

1) Find the velocity of m2 after collision

2) Find the angular velocity of m2 after the collision

3) Was the collision elastic

Answer #1

.A
uniform sphere of mass m radius r starts rolling down without
slipping from the top of another larger sphere of radius R. Find
the angular velocity of the sphere after it leaves the surface of
the larger sphere.

A hollow sphere (mass 8.8 kg, radius 54.8 cm) is rolling without
slipping along a horizontal surface, so its center of mass is
moving at speed vo. It now comes to an incline that makes an angle
56o with the horizontal, and it rolls without slipping up the
incline until it comes to a complete stop. Find a, the magnitude of
the linear acceleration of the ball as it travels up the incline,
in m/s2.

Two balls with masses of m1 = 10 kg and m2 = 50 kg undergo an
elastic collision with the first ball traveling east with a
velocity of $$m/s and the second ball traveling west with a
velocity of 10 m/s. Find the speeds and the direction of the of the
two balls after the collision .
show all work to get to answer

Two balls with masses of m1 = 10 kg and m2 = 50 kg undergo an
elastic collision with the first ball traveling east with a
velocity of 50m/s and the second ball traveling west with a
velocity of 10 m/s. Find the speeds and the direction of the of the
two balls after the collision .
show all work to get to answer

1. A solid sphere of mass 50 kg rolls without slipping. If the
center-of-mass of the sphere has a translational speed of 4.0 m/s,
the total kinetic energy of the sphere is
2.
A solid sphere (I = 0.4MR2) of
radius 0.0600 m and mass 0.500 kg rolls without slipping down an
inclined plane of height 1.60 m . At the bottom of the plane, the
linear velocity of the center of mass of the sphere is
approximately
_______ m/s.

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?

A cart of mass m1 = 8.8 kg, moving on frictionless
surface with a speed of 2.5 m/s makes an elastic collision with a
cart of unknown mass m2 moving at an unknown speed
toward m1 . After the collision, the 8.8 kg cart recoils
with a speed of 9.2 m/s as shown in the figure but now
m2 is at rest. Find the mass of m2.

A solid sphere ( of mass 2.50 kg and radius 10.0 cm) starts
rolling without slipping on an inclined plane (angle of inclination
30 deg). Find the speed of its center of mass when it has traveled
down 2.00 m along with the inclination.
Groups of choices:
a. 3.13 m/s
b. 4.43 m/s
c. 3.74 m/s
d. 6.26 m/s

A steel ball of mass m1=3.0 kg is fastened to a cord
that is L=1.4 m long and fixed at the far end. The ball is released
when the cord is horizontal. At the bottom of its path, the ball
strikes a m2=1.5 kg steel block initially at rest on a
frictionless surface. The collision is elastic. Find the speed of
the steel ball immediately before the collision
(v-before) and the steel block
immediately after the collision (v-after) in m/s....

7. Ball A with mass 0.85 kg is rolling at 3.5
m/s [N] when it collides with stationary Ball B with mass 1.15 kg.
After the collision, Ball A is moving 2.4 m/s [N40ºW]. Find the
velocity of Ball B after the collision.

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