OnlineCBT
Physics · WORK, ENERGY AND POWER
हिन्दीA block of mass \( m \) moving with speed \( v \) compresses a horizontal spring of spring constant \( k \) on a rough floor having coefficient of friction \( \mu \). The maximum compression \( x_m \) satisfies which of the following quadratic equations?
Correct answer · Option 3
\( k x_m^2 + 2\mu m g x_m - m v^2 = 0 \)
Explanation
By work-energy theorem: \( \Delta K = W_{\text{net}} \implies 0 - \frac{1}{2}mv^2 = -\frac{1}{2}kx_m^2 - \mu mg x_m \). Multiplying through by 2 gives \( kx_m^2 + 2\mu mg x_m - mv^2 = 0 \).
