1.

Two identical mass M moving with velocity u_1 and u_2 collide perfectly inelastically. The loss in kinetic energy is

Answer»

`M/2 (u_2 - u_1)^2`
`M/2 (u_1^2 - u_2^2)`
`M/4 (u_2 - u_1)^2`
`M/4 (u_1^2 - u_2^2)`

Solution :LOSS in kinetic ENERGY in a perfectly inelastic COLLISION is
`DELTA K = 1/2 (m_1m_2)/((m_1 + m_2)) (u_1 - u_2)^2`
Here, `m_1 = m_2 = M`
`:. Delta K = 1/2(M XX M)/((M + M)) (u_1 - u_2)^2 = M/4 (u_1 - u_2)^2` .


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