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A 900kg steel sphere is attached to a ceiling with a 10m cable. It is lifted...

A 900kg steel sphere is attached to a ceiling with a 10m cable. It is lifted up until the cable is at an angle of 15 degrees with the vertical. Once it is released what will the speed be at the bottom?

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Answer #1

Gravitational acceleration = g = 9.81 m/s2

Mass of the steel sphere = M = 900 kg

Length of the cable = L = 10 m

Angle the cable is pulled up to = = 15o

Height through which the steel sphere falls after it is released = H

From the figure,

Speed of the steel sphere at the bottom = V

The initial potential energy of the steel sphere is converted into the kinetic energy of the steel sphere at the bottom.

V = 2.59 m/s

Speed of the steel sphere at the bottom = 2.59 m/s

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