A small mass M attached to a string slides in a circle (x) on a frictionless hor

Question

A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see figure). The force is then increased slowly and then maintained constant when M travels around in circle (y). The radius of circle (x) is twice the radius of circle (y).

the following can be aswered by either ( True, false, greater than, less than, or equal to )

1.M's kinetic energy at x is one quarter that at y.

2.M's angular velocity at x is one quarter that at y.

3.As M moves from x to y, the work done by F is .... 0.

4.M's angular momentum at y is .... that at x.

5.While going from x to y, there is a torque on M

Explanation / Answer

1. M's kinetic energy at x is one quarter that at y. (true)
2.M's angular velocity at y is four times that at x. (true)

3.As M moves from x to y, the work done by F is .... 0. ( equal to)

4.M's angular momentum at y is .... that at x. (equal to)
5.While going from x to y, there is a torque on M (false)

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