Item 8 Part A Two identical twins, Jena and Jackie, are playing one December on

Question

Item 8 Part A 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 29.5 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 1.84 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 62.0 N to keep from sliding off. Jackie is sitting at the edge, a distance 3.65 nm from the center. With what horizontal force must Jackie hold on to keep from falling off? Submit My Answers Give Up Part B Jackie falls off, what will be her horizontal velocity when she becomes airborne? Submit My Answers Give Up D-ovide Feedback Continue Symbols

Explanation / Answer

a)

  From the centripetal force equation .. F = mr² ..

From the centripetal force equation .. F = mr² ..

(m) and (?) are constants ..

so F depends on the radius ..

Let F be the force for Jackie

F/ 62N = 3.65m / 1.84m .. .. F = 3.65 x 62 / 1.84.. .. F =122.99N

b)

The tangential (horizontal) velocity for Jackie is obtained from ..F = mv/r (alternative to mr^2)

v2 = Fr / m

v2 = 122.99 x 3.65 / 29.5kg .. .. v2 = 15.22 .. .. v2 = 15.22

v=3.90 m/s

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