Question

A small rubber ball is thrown at a heavier, larger basketball that is still. The small ball bounces off the basketball. Assume there are no outside forces acting on the balls.
A. How does the force on the small ball compare to the force on the basketball?
B. Compare the total momentum of the two balls before and after the collision?
C. The mass of the basketball is 600 grams and its velocity before the small ball hits is 0 m/s. The mass of the small ball is 100 grams and its velocity is +5 m/s before the collision and -4 m/s afterward. What is the velocity of the basketball after the collision?

Answer 1

A. How does the force on the small ball compare to the force on the basketball?

Answer:

Force will be same in magnitude but opposite in sign

Explanation:

As per Newton's III law every action has equal and opposite reaction force.

So here when small ball apply force on large ball then the two forces will be equal in magnitude but opposite in direction

B. Compare the total momentum of the two balls before and after the collision?

Answer:

Total momentum of two balls will remains same before and after collision

Explanation:

As we know that there is no external force on the system of two bodies so the sum of momentum of two balls before and after collision must be same.

So we can say initial momentum of small ball = final momentum of small + big ball together.

C. The mass of the basketball is 600 grams and its velocity before the small ball hits is 0 m/s. The mass of the small ball is 100 grams and its velocity is +5 m/s before the collision and -4 m/s afterward. What is the velocity of the basketball after the collision?

Answer:

$v = 1.5 m/s$

Explanation:

By momentum conservation equation we have

$m_1v_{1i} = m_1v_{1f} + m_2v_{2f}$

$100(5) = 100(-4) + 600 v$

$900 = 600 v$

$v = 1.5 m/s$

Answer 2

Part A.
The forces are the same because the force from the smaller ball it transferring its Energy through the basketball and it's rebounding as Connecticut Energy back up to the smaller ball