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A block of mass m moving at a speed v co...

A block of mass m moving at a speed v compresses as spring thrugh a distance x before its speed is halved. Find the spring constant of the spring.

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The correct Answer is:
B, C, D
Let the velocity o th body at A be v.
so, the velocity of the body at B is `v/2`
Energy at point A =Energy at point B`

`So, /2 mv_A^2-(1/2)mv_B^2=1/2kx^2`
`rarr 1/2 kx^2=1/2m(V_A^2-V_B^2)`
`rarr kx^2=m(v^2-v^2/4)`
`rarr kx^2=m((4v^2-v^2))/4`
`k=(3mv^2)/(4x^2)`
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