Question

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

• A. X²
• B. e^x
• C. X
• D. Ln(x)

Answer 1

The correct option is A

X²

$–a\propto xora\propto –x\Rightarrow$ particle is executing SHM ∴ $\therefore KW=\frac{1}{2}m{\omega }^2(A^2–x^2)\therefore KE\propto x^2$