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 : Assuming no relative motion between box and block what is the maximum possible acceleration of block and box at the instant of maximum compression ?

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 : Assuming no relative motion between box and block what is the maximum possible acceleration of block and box at the instant of maximum compression ?
Answer» `mu_(s) G` `(mu_(s) "MG")/(m)` ` (mu_(s) (M + m) g)/(m)` `(mu_(s) "mg")/(M)` SOLUTION :`a_("MAX") = mu_(s) g`