A body of mass 2 kg is placed on rough horizontal plane. The coefficient of friction between body and plane is 0.2 Then,

Options

A. body will move in forward direction if F = 5 N
B. body will be move in backward direction with acceleration `0.5 m//s^(2)` if force F = 3N
C. if F = 3N, then body will be in rest condition
D. Both a and c are correct

Answer

D

Explanation

For moving the body, applied force should be greater or equal to limiting friction (i.e. `mu`N).
The limiting friction is `f_(2) = mu N = mu mg`
`=0.2 xx 2 xx9.8 = 3.92 N`
(a) Since, applied force F = 5N, so body starts to move in forward direction.
(b) Here, applied force is lesser than limiting friction. So, body does not move.
(c ) The reason is same as option (b).