A mass of 0.5, kg moving with a speed of 1.5, m/s on a horizontal smooth surface, collides with a ne

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5.Work, Energy, Power and Collision

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A mass of $0.5\, kg$ moving with a speed of $1.5\, m/s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k=50\,N/m$. The maximum compression of the spring would be ................. $\mathrm{m}$

A

$0.12$

B

$1.5$

C

$0.5$

D

$0.15$

Solution

The kinetic energy of mass is converted into energy required to compress a spring which is

given by $\frac{1}{2} m v^{2}=\frac{1}{2} k x^{2}$

$\Rightarrow x=\sqrt{\frac{m v^{2}}{k}}=\sqrt{\frac{0.5 \times(1.5)^{2}}{50}}$

$=0.15 \mathrm{m}$

Standard 11

Physics

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