A block of mass m is kept over another block of mass M nd the system rests on a horizontal force F acting on the lower block produces an accelertion `F/(2(m+M))` in the system the two blocks always move together. A. Find the coefficient of kinetic frictioin between the bigger block and th horizontal surface. b. find the frictional force acting on the smaller block. c. Find the work done by the force of friction on the smaller block by the bigger block during a displacement d of the system.

Answer

A, B, C, D

Explanation

a. `=F/(2(M+m))` (given)

From `ma=muR_1`
and `R_1=mg`
`rarr =mu=(ma)/R_1`
`=F/(2(M+m)g)`
b. FrictioN/Al froce acting on the smaller block
`f=muR= F/(2(M+m)g)xxmg`
`=(mF)/(2(M+m))`
c. work done `w=fs `
`s=d`
`=(mF)/(2(M+m))xxd`
`=(mFd)/(2(M+m))`