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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. `((mu_(s)g)/v_(0))^(2) M/((M+m))`B. `((mu_(s)g)/v_(0))^(2)(M+m)`C. `((mu_(s)g)/(2v_(0)))^(2) (M+m)^(2)/M`D. None of these |
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Answer» Correct Answer - B `1/2(M+m)v_(0)^(2)=1/2kx_(m)^(2)` `kx_(m)=mu_(s)(M+m)g` `x_(m)=mu_(s)//k` `1/2(M+m)u_(0)^(2)=1/2k(((M+m)mu_(s)g)/k)^(2)` `k=((mu_(s)g)/v_(0))^(2)(M+m)` |
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