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Two blocks sit on a horizontal frictionl...

Two blocks sit on a horizontal frictionless surface connected to an ideal spring. Initially everything is at rest and there is a string compressing the mass-spring system from equilibrium. At some time after the string is cut, the block of mass 2M reaches its maximum kinetic energy K. What maximum kinetic energy does the block of mass M attain in terms of K

A

`1/4 K`

B

`1/2K`

C

`K`

D

`2K`

Text Solution

Verified by Experts

The correct Answer is:
D
`p_(1)=p_(2)=p`
`K_(1)=(p^(2))/(2M) " " K_(2)=K=(p^(2))/(2xx2M)`
`rArr K_(1)=2K`
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