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A block of mass M slides on a frictionle...

A block of mass M slides on a frictionless surface with an initial speed of `v_(0)` On top of block is a small box of mass m. the coefficients of friction between box and block are `mu_(6) and mu_(k)`. The sliding block encounters and ideal spring with force constant K. Answer following questions. What is maximum value of k for which it remains true that box does not slide?

A

`((mug)/(v_(0)))^(2)((m+M)^(2))/(m)`

B

`((mug)/(v_(0)))^(2)(m+M)`

C

`((mug)/(v_(0)))^(2)((m+M)^(2))/(M)`

D

`((mug)/(v_(0)))^(0)(M-m)`

Text Solution

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The correct Answer is:
B
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