Two rough blocks A and B ,A placed over B move with acceleration `veca_(A)` and `veca_(B)` veclocities `vecv(A)` and `vecv_(B)` by the action of horizontal forces `vec(F_(A))` and `vec(F_(B))`, respectively. When no friction exsits between the blocks A and B,

Options

A. `v_(A) = v_(B)`
B. `a_(A) = a_(B)`
C. Both (a) and (b)
D. None of the Above

Answer

C

Explanation

When friction between the blocks because zero the relative sliding between the block will be stopped bence `v_(A) = v_(B)` and `a_(A) = a_(B) `Also when the friction because zero only forces to move the blocks are `F_(A) andF_(B)`
`a_(A) = a_(B) rArr (F_(A))/(m_(A)) = (F_(B))/(m_(b))`