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Question 1

What is the conservation of linear momentum?

Answer 1

Conservation of linear momentum dictates that when a mass strikes an equal mass at rest and sticks to it, the combination must move at half the velocity, because the product of mass and velocity must remain constant.

Question 2

What happens to angular velocity when the radius is halved?

Answer 2

If the string is pulled down so that the radius is half the original radius, then conservation of angular momentum dictates that the ball must have four times the angular velocity.

Question 3

Why does halving the radius affect moment of inertia?

Answer 3

Halving the radius reduces the moment of inertia by a factor of four, which is why the angular velocity increases.