Two identical twins, Jena and Jackie, are playing one December on a large merry-

Question

Two identical twins, Jena and Jackie, are playing one December on a large merry-go-round (a disk mounted parallel to the ground on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has a mass of 29.6 kg . The icy coating on the merry-go-round surface makes it frictionless. The merry-go-round revolves at a constant rate as the twins ride on it. Jena, sitting a distance 1.78 m from the center of the merry-go-round, must hold on to one of the metal posts attached to the merry-go-round with a horizontal force of 63.0 N to keep from sliding off. Jackie is sitting at the edge, a distance 3.57 m from the center.

Part A

With what horizontal force must Jackie hold on to keep from falling off?

Part B

If Jackie falls off, what will be her horizontal velocity when she becomes airborne?

Explanation / Answer

m w^2 *R = Force needed

29.6 w^2 *1.78 =63

29.6 w^2 * 3.57 = F

F / 63 =3.57/1.78

F=126.353932584 N

velocity = w*R

=1.09348899862 * 3.57

=3.90375572507 m/s

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