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QUESTION 1: A 54.0-kg ice skater is moving at 4.10 m/s when she grabs the loose...

QUESTION 1:

A 54.0-kg ice skater is moving at 4.10 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.820 m around the pole.

(a) Determine the magnitude of the force exerted by the horizontal rope on her arms.
kN

(b) Compare this force with her weight.

Frope
W

QUESTION 2:

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness.

(a)

If a human centrifuge has a radius of 4.23 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g?

rad/s

(b)

What linear speed (in m/s) would a person in the centrifuge have at this acceleration?

m/s

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