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Question

A block of mass 5 kg is dropped on a vertical spring of spring constant 1200 N/m from a height of 10 m. Assuming that all the energy of the block is absorbed by the spring, what is the compression produced in the spring?
(Take g=10 m/s2)

A
9.12 m
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B
912 mm
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C
9.12 mm
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D
11.2 cm
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Solution

The correct option is B 912 mm
Initial potential energy of the block =mgh
This potential energy is converted into spring potential energy when the block hits the spring.
i.e mgh=12kx2,
where x= displacement produced in the spring.

5×10×10=12×1200×x2
10001200=x2
x=0.912 m=912 mm

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