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).

true, false, greater than, less than, equal to.

1. M's kinetic energy at y is four times that at x.

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

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

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

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

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). true, false, greater than, less than, equal to. 1. M's kinetic energy at y is four times that at x. 2. M's angular velocity at x is one quarter that at y. 3. M's angular momentum at x is .... that at y. 4. As M moves from x to y, the work done by F is .... 0. 5. While going from x to y, there is a torque on M

Explanation / Answer

1. true (as the speed at y is twice as at x by L-conservation) 2).true (same reason as above) 3) equal to (L - conservation) 4). equal to (as there is no displacement in the direction of the force) 5). false (all forces pass through the rotation axis, so no torque)

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