A 5 kg block is sliding on rough horizontal surface with speed 10 metre per second at the moment when it just ask impressing and uncompress spring of spring constant 400 newton per metre if friction force between the block and surface is 10 newton then the spring is compressed by nearly
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KE of Body -Frictional Force .x=Springs Pot Energy
1/2 5(10)^2 -10.x=1/2 400(x)^2
finding x from this quadratic should be easy.
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