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A simple pendulum has a mass of 0.259 kg and a length of 0.97 m. It is displaced through an angle of 31.4 degrees and then released. After a
Question
A simple pendulum has a mass of 0.259 kg and a length of 0.97 m. It is displaced through an angle of 31.4 degrees and then released. After a time, the maximum angle of swing is only 10.0 degrees. How much energy has been lost to friction
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2021-08-15T06:36:05+00:00
2021-08-15T06:36:05+00:00 1 Answers
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Answer:
The energy lost is 0.333156518 J.
Explanation:
The given mass of the pendulum = 0.259 kg
Length = 0.97 m
Displaced at an angle of = 31.4 degrees
Maximum angle of swing = 10 degrees
Initial potential energy = mgh
Initial potential energy = 0.259 × 9.8 × (1 – cos31.4)
= 0.259 × 9.8 × ( 1- 0.853551)
= 0.371716852 J
Final potential energy = mgh
Final potential energy = 0.259 × 9.8 × (1 – cos10)
= 0.259 × 9.8 × (1 – 0.984808)
= 0.0385603344 J
The lost energy = Initial potential energy – Final potential energy
= 0.371716852 J – 0.0385603344 J
= 0.333156518 J