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Q.

The ball strikes the block and sticks to it. The maximum compression of spring is ___(L = Natural length, K = spring constant)

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a

$v_{0} \sqrt{\frac{3 m}{2 K}}$

b

$v_{0} \sqrt{\frac{2 m}{3 K}}$

c

$v_{0} \sqrt{\frac{m}{2 K}}$

d

$v_{0} \sqrt{\frac{m}{3 K}}$

answer is D.

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Detailed Solution

detailed_solution_thumbnail

$m v_{0} = 3 m v \Rightarrow v = \frac{v_{0}}{3}$

$\frac{1}{2} (m + 2 m) v^{2} = \frac{1}{2} K x^{2}$

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