1.

In the figure, the ball B is released from rest when the spring is in natural length. For the block A of mass 2m to leave contact with the ground at some instant the minimum mass of B must be

Answer»

2m
m
`(m)/(2)`
`(m)/(4)`

SOLUTION :Using conservation of momentum,
`2mV = sqrt(m^(2)v^(2)+m^(2)v^(2))`
`2mV=sqrt(2m^(2)v^(2))`
`V=(v)/(sqrt(2))`]
Energy released in explosion`=2XX(1)/(2)mv^(2)+(1)/(2)xx2mxx(v^(2))/(2)=(3)/(2)mv^(2)`


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