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A small object of mass 0.500 kg is attached by a 0.800 m-long cord to a...

A small object of mass 0.500 kg is attached by a 0.800 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.17 m/s.

a)  What is the magnitude (m/s2) of the radial acceleration of the object?

b)  What is the tension (N) in the cord?

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Answer #1

a)

v = speed of the object = 8.17 m/s

r = radius of the circle = length of the cord = 0.800 m

magnitude of the radial acceleration is given as

a = v2/r = (8.17)2/0.8

a = 83.4 m/s2

b)

T = Tension force in the cord

Tension force in the cord is given as

T = ma

T = 0.5 x 83.4

T = 41.7 N

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