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Explain how a freely swinging pendulum obeys the law of conservation of energy.

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Energy changes at B K.E. = O 

at highest pt. vel. = O 

P.E. = mgh 

∴ the bob is at height h

K.E. + P.E. = O + mgh = mgh …(i) 

At A: As the bob moves towards A from B its height goes on decreasing and h at A is zero, but its vol. goes on increasing. 

∴ At A, P.E. = 0 and K.E. = mgh 

∴ P.E. + K.E. = 0 + mgh = mgh ….(ii) 

At C : As the bob continues to move forward from B to C, its velocity = 0 but height increases to h 

∴ At C K.E. = 0 and P.E. = mgh 

∴ K.E..+ P.E. = 0 + mgh = mgh …(iii) 

Thus we find that sum total of K.E. and P.E remains constant which is in accordance with conservation of energy.

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