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

A block of mass M slides on a frictionless surface with an initial spe

1.	A block of mass M slides on a frictionless surface with an initial speed of v_(0) . On top of block is small box of mass m . The coefficient of friction between box and block are mu_(s) and mu_(k) . The sliding block encounters an ideal spring with forceconstant k . Answer the following questions : What is maximum value of k for which it remains true that box does not slide ?
Answer» `((mu_(s) g )/(v_(0)))^(2) ( M)/(( M + m))` `((mu_(s) g)/(v_(0)))^(2) (M + m)` `((mu_(s)g )/( 2v_(0)))^(2) ((M + m)^(2))/(M)` NONE of these Solution :`kx = (M + m)(V dv)/(dx) ""….. (i) ` `mu_(s) "MG" = "ma""" …(ii)`