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A block of mass 2 kg is dropped from a h...

A block of mass 2 kg is dropped from a height of 40 cm on a spring whose force-constant `1960 N m^(-1)`. The maximum distance through which the spring is compressed by

A

10 cm

B

1 cm

C

20 cm

D

5 cm

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Decrease in gravitational potential energy
= increase in elastic potential energy
or `" " mg(h+x)=(1)/(2)kx^(2) " or " 2xx9.8(0.4+x)=(1)/(2)xx1960xxx^(2)`
Solving this equation we get, x=0.1m `" or " 10 cm`.
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