Q. An engine is attached to a wagon through a shock absorber of length . The entire system with a total mass of was moving with a speed of , when the brakes are applied to bring it to rest. In this process, the spring of the shock absorber gets compressed by . If of the energy of the wagon is lost due to friction, the spring constant is

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A

B

C

D

Solution:

Mass of the system
Speed of the system

Compression of the spring

Since, 90% KE of the system is lost due to friction, therefore kinetic energy transferred to shock absorber,

This K.E. is converted in to spring energy

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