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?

Options

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)`

Answer

B