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Uniform and Non Uniform

a 16kg block ...

Question

a 16kg block moving with a velocity of 4m/s on a frictionless surface compresses a spring and comes to rest then if the force constant of this ideal spring be 100N/m then how much is the spring compressed ?

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Solution

1/2 kx² = 1/2 mv²
1/2 X 100 X x²= 1/2 X 16 X (4)²
50 X x² = 256/2
x² = 128/50
x² = 2.56
x = 1.6
so, the spring is compressed 1.6 m .

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