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Question

A block of mass 250g is kept on a vertical spring of spring constant 100N/m fixed from below. The spring is now compressed to have a length 10cm shorter than its natural length and the system is released from this position. How high does the block rise? (g=10m/s2)

A
10cm
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B
30cm
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C
20cm
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D
40cm
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Solution

The correct option is C 20cm
The given data is
m=250g=0.250kg
k=100N/mx=10cm=0.1m
g=10m/sec2
Applying law of conservation of energy
12kx2=mgh
h=12(kx2mg)
h=12(100×(0.1)22×0.25×10)
h=0.2m
h=20cm

1000756_1027529_ans_15fa76f7e7cb41a9adb555a8c8627e89.png

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