An object of 2.0 kg mass makes an elastic collision with another object of mass M at rest and continues to move in the original direction but with one-fourth of its original speed. What is the value of M ?

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0.75 kg

1.0 kg

1.2 kg

none of these

answer is C.

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Detailed Solution

This is a case of head-on elastic collision v2 - v1 = u1 - u2 ⇒v2 -u4=u-0 .............1 Conserving momentum 2⋅0×u+M×0=2×u4+M×v2 ⇒v2=3u2M ............2 From equations 1 and 2 we get M = 1.2 kg

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