A 2.52kg rock is attached at the end of a thin, very light rope 1.47m long and i

Question

A 2.52kg rock is attached at the end of a thin, very light rope 1.47m long and is started swinging by releasing it when the rope makes an 10.0degree angle with the vertical. You record the observation that it rises only to an angle of 4.60 degree with the vertical after 101/2 swings. How much energy has this system lost during that time? Ei-Ef= . What happened to the "lost"energy?Explain how it could have been "lost" Essay answers are limited to about 500 words(3800 characters maximum,including spaces).

Explanation / Answer

The lost energy is

Elost = PEimax - PEfmax

Thus,

Elost = m g L (1 - COS 10.0) - m g L (1 - cos 4.60)

Thus,

Elost = 0.4346 J   [ANSWER]

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The energy could be lost due to friction in air, friction on the pivot, which in turn produced heat on the hinge and the surroundings. The energy is not actually "lost", it just became heat.

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