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

Options

A. `x^(2)`
B. `e^(x)`
C. x
D. `log_(e)x`

Answer

A

Explanation

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=(1)/(kx^(2)` and accordingly kinetic energy decreases.