A mass of 0.6 kg moving with a speed of $2 \mathrm{~m} / \mathrm{s}$ on a horizontal smooth surface,

Question

A mass of 0.6 kg moving with a speed of $2 \mathrm{~m} / \mathrm{s}$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k=60 \mathrm{~N} / \mathrm{m}$. The maximum compression of the spring would be\

Professor PC Thomas Classes · Answer

The kinetic energy of mass is converted into energy required to compress a spring which is given by\ $\frac{1}{2} m v^{2}=\frac{1}{2} k x^{2}$\ $\Rightarrow x=\sqrt{\frac{m v^{2}}{k}}=\sqrt{\frac{0.6 	imes(2)^{2}}{60}}=0.2 \mathrm{~m}$\