A 15, g ball is shot from a spring gun whose spring has a force constant of 600, N, m . spring is co

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5.Work, Energy, Power and Collision

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A $15\, g$ ball is shot from a spring gun whose spring has a force constant of $600\, N\, m$. The spring is compressed by $3\, cm$. The greatest possible velocity of the ball for this compression is ............. $\mathrm{m}/ \mathrm{s}$ $(g = 10\, m/s^2$)

A

$6$

B

$12$

C

$10$

D

$8$

Solution

$\frac{1}{2} \mathrm{kx}^{2}=\frac{1}{2} \mathrm{mv}^{2}$

$600 \times 9 \times 10^{-4}=15 \times 10^{-3} \times v^{2}$

$\Rightarrow \mathrm{v}=6 \mathrm{m} / \mathrm{s}$

Standard 11

Physics

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