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A body of mass $5 \mathrm{~kg}$ moving with a speed of $1.5 \mathrm{~m} / \mathrm{s}$ on a horizontal smooth surface collides with a nearly weightless spring of force constant $k=5 \mathrm{~N} / \mathrm{m}$. The maximum compression of the spring would be
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$1.5 \mathrm{~m}$
At maximum compression the whole kinetic energy of ball $=$ potential energy of spring.
$\begin{aligned} & \frac{1}{2} m v^2=\frac{1}{2} k x^2 \Rightarrow x=v \sqrt{\frac{m}{k}} \\ & x=1.5 \times \sqrt{\frac{5}{5}}=1.5 \mathrm{~m}\end{aligned}$
$\begin{aligned} & \frac{1}{2} m v^2=\frac{1}{2} k x^2 \Rightarrow x=v \sqrt{\frac{m}{k}} \\ & x=1.5 \times \sqrt{\frac{5}{5}}=1.5 \mathrm{~m}\end{aligned}$
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