• # question_answer A body of mass 0.1 kg moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is                                   [MP PMT 2001] A)             $0.01\,m$        B)             $0.1\,m$ C)             $0.2\,m$          D)             $0.5\,m$

$\frac{1}{2}m{{v}^{2}}=\frac{1}{2}k{{x}^{2}}$Þ$x=v\sqrt{\frac{m}{k}}=10\sqrt{\frac{0.1}{1000}}=0.1\,m$