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A system comprises of two small spheres ...

A system comprises of two small spheres with the same masses `m`. initially, the spring is non deformed. the spheres set in motion in a gravity space at the velocities as shown in the diagram.

The maximum elastic potential energy stored in the system is

A

`(mv_(0)^(2))/(2sqrt(2))`

B

`mv_(0)^(2)`

C

`1/2mv_(0)^(2)`

D

`2mv_(0)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Both the spheres will come at rest simultaneously because net momentum of system is zero. And when they comes to rest, their KE converts into elastic potential energy of spring.
`U=2[1/2mv_0^2]=mv_0^2`
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