A `20 kg` blocks is placed on of `50 kg `block as shown in figure An horizontal force `F` acting on A causes an acceleration of `3 ms^(-2)` to A and `2ms^(-2)` to B as shown in the figure for this situation mark out the corect statement(s)

Options

A. The friction force between A and B is `40 N`
B. The net force acting on A is `150 N`
C. The value of F is `190 N`
D. The value of F is `150 N`

Answer

a,b,c

Explanation

The acceleration of A and B are different it means then is relative motion between A and B The free body diagram of A and B can be drawn as bellow

For `A F - f = Ma_(A) = 50 xx3`
For `theta , f = ma_(B) + 20 xx 2 rArr f = 40 N , F = 100 N`