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Question

A block of mass 'm' moving at a speed V compresses a spring through a distance x before its speed is halved. The spring constant of the spring is

A
7mV24x2
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B
3mV24x2
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C
7mV28x2
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D
None of these
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Solution

The correct option is B 3mV24x2

Let 'K' be the spring constant

By conservation of mechanical energy

12mV2=12m×(V2)2+12Kx2

Solving we get

K=3mV24x2

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