A particle moves in a straight line with r

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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$  is proportional to

A

${x^2}$

B

${e^x}$

C

$x$ 

D

${\log _e}x$

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$  is proportional to

This condition is applicable for simple harmonic motion. As particle moves from mean position to extreme position its potential energy increases according to expression $U = \frac{1}{2}k{x^2}$ and accordingly kinetic energy decreases.