Question

A solid steel ball moving at a speed of 4.20m/s collides with another identical ball that...

A solid steel ball moving at a speed of 4.20m/s collides with another identical ball that is stationary, and neither ball is spinning prior to the collision. The balls are magnetized and stick together after the collision. The balls just barely collide, and therefore spin as they continue off together. There is no net force on either of the balls (other than what they exert on each other) before, during, or after the collision.

a. find the linear speed of the contact point of the two balls (the point where they are stuck together) after the collision.

b. find the rotational inertia of the two-ball combination measured around the contact points in terms of the mass of each ball (call it "m") and the radius of each ball (call it "R").

c. the radius if each ball is 6.0 cm. After the collision, it is found that the system has ost 1/7th of the kinetic energy it started with. Find the rotational velocity of the two balls after the collision.

Homework Answers

Answer #1

a)

Initial speed of ball 1 , and ball 2 is at rest

After collision the two balls move with common linear speed of the contact point ,

Conserving linear momentum of two balls before and after collision,

Linear speed of the common contact point

b)

Moment of inertia of two solid balls about the point of contact is

c)

Radius

Given that

Initial kinetic energy of system of balls is

Final kinetic energy of system of balls is

,Solving above equation

Rotational velocity of two balls after collision is

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 900 kg car moving East with speed of 20 m/s collides with a 1500 kg...
A 900 kg car moving East with speed of 20 m/s collides with a 1500 kg car moving North with speed of 15 m/s at an intersection. Both cars stick together after collision. What is the speed and direction of these two stuck cars immediately after this collision?
A hard ball (1.0 kg) is moving 5 m/s and collides with an identical ball at...
A hard ball (1.0 kg) is moving 5 m/s and collides with an identical ball at rest. The collision istotally elastic, and in the center‐of‐mass frame the balls each deflect by 45 degrees. Find the velocities after the collision in the lab frame.
A ball with mass M = 5 kg is moving with speed V=10 m/s and collides...
A ball with mass M = 5 kg is moving with speed V=10 m/s and collides with another ball with mass m = 2.5 kg which is initially stationary. There is no other force such as gravity acting on the two balls. After the collision, both balls move at angle θ=30 degrees relative to initial direction of motion of the ball with mass M = 5 kg. a) What are the speeds of the two balls after the collision? b)...
A ball of mass 0.305kg that is moving with a speed of 5.7m/s collides head-on and...
A ball of mass 0.305kg that is moving with a speed of 5.7m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.3m/s. Calculate the velocity of the target ball after the collision. Calculate the mass of the target ball.
Two identical balls, a and b, collide and stick together. The balls, which have a mass...
Two identical balls, a and b, collide and stick together. The balls, which have a mass of 2kg eac, were initially moving towards each other. b ball A had a speed of 5m/s and ball B had a speed of 3m/s just before a collision. What is the magnitude of the change of Ball As momentum produced by the collision
A ball of mass 0.250 kg that is moving with a speed of 5.5 m/s collides...
A ball of mass 0.250 kg that is moving with a speed of 5.5 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.1 m/s . Calculate the velocity of the target ball after the collision. Calculate the mass of the target ball.
A ball of mass 0.310 kg that is moving with a speed of 5.7 m/s collides...
A ball of mass 0.310 kg that is moving with a speed of 5.7 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.1 m/s . 1. Calculate the velocity of the target ball after the collision. 2. Calculate the mass of the target ball.
A ball of mass 0.265 kg that is moving with a speed of 5.1 m/s collides...
A ball of mass 0.265 kg that is moving with a speed of 5.1 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.5 m/s . Part A: Calculate the velocity of the target ball after the collision. Part B: Calculate the mass of the target ball.
A ball of mass 0.484 kg moving east (+xdirection) with a speed of 3.76 m/s collides...
A ball of mass 0.484 kg moving east (+xdirection) with a speed of 3.76 m/s collides head-on with a 0.242 kg ball at rest. Assume that the collision is perfectly elastic.    A)What is be the speed of the 0.484-kg ball after the collision? B)What is be the direction of the velocity of the 0.484-kg ball after the collision? C)What is the speed of the 0.242-kg ball after the collision? D)What is the direction of the velocity of 0.242-kg ball after...
A 1000-kg car moving north with a speed of 25.0 m/s collides with a 2000- kg...
A 1000-kg car moving north with a speed of 25.0 m/s collides with a 2000- kg truck moving at an angle of 30° north of west with a speed of 20.0 mjs. After the collision, the car and the truck stuck together. What is the magnitude of their common velocity after the collision?