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The potential energy of a freely falling...

The potential energy of a freely falling object decreases progressively. Does this violate the law of conservation of energy ? Why ?

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No. The process does not violate the law of conservation of energy. This is because when the body falls from a height, then its potential energy changes into kinetic enegry progressively. A decrease in the potential energy is equal to an increase in the kinetic energy of the body. During the process, total mechanical energy of the body remains conserved. Therefore, the law of conservation of energy is not violated.
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In figure, k = 100 N//m, M = 1kg and F = 10 N (a) Find the compression of the spring in the equilibrium position (b) A sharp blow by some external agent imparts a speed of 2 m//s to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant. (c) Find the time period of the resulting simple harmonic motion. (d) Find the amplitude. (e) Write the potential energy of the spring when the block is at the left estreme. (f) Write the potential energy of the spring when the block is at the right extreme. The answers of (b), (e) and (f) are different. Explain why this does not violate the principle of conservation of energy ?

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