Question

A particle moves in a straight line with its retardation proportional to its displacement 'x'. Change in kinetic energy is proportional to n^th power of x, where n is ______.

Options

• 1

• 2

• 3

• 4

Answer 1

A particle moves in a straight line with its retardation proportional to its displacement 'x'. Change in kinetic energy is proportional to n^th power of x, where n is 2.

Explanation:

a ∝ x

W_net = F ∙ x

∝ a ∙ x

∝ x²

∴ ∆K ∝ x²