Question

Two blocks with masses M and m are in contact with each other and are resting on a horizontal frictionless floor. When horizontal force is applied to the heavier, the blocks accelerate to the right. The force between the two blocks is

• A. (M + m) F/m
• B. MF/m
• C. mF/M
• D. mF/(M + m)

Answer 1

Answer:

D. mF/(M + m)

from the free body diagram

$F-N=Ma$ ..................(1)

$N=ma$ ...........................(2)

Therefore, $a=\frac F{m+M}$ ............ from eqn (2)

we get $N=\frac {mF}{(m+M)}$