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Q.

A small ball of mass M=1kg is attached to two identical springs of constant 100N/m, Which are attached to floor and roof.  The springs are initially unstretched.  By what distance ball comes down to attain equilibrium? (in cm) ( take g=10ms-2)

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answer is 5.

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Detailed Solution

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let the ball displaces by x.

The upper spring will elongate by x and lower spring will compress by x.

Mg-Kx-Kx=0

x=1×102×100=5cm

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A small ball of mass M=1kg is attached to two identical springs of constant 100N/m, Which are attached to floor and roof.  The springs are initially unstretched.  By what distance ball comes down to attain equilibrium? (in cm) ( take g=10ms-2)