A block of mass 2 kg is pushed against a rough vertical wall with a force is 40 N. Coefficient of static friction being 0.5. Another horizontal force is 15 N, is applied on the block in a direction parallel to the wall. Will the block move? If yes in which direction? If no, find the frictional force exerted by the wall on the block.

Explanation

Net force `=sqrt(20^2+15^2)-(05)x40`
`25-20=5N`
`:. Tantheta=20/15=4/3`
`rarr m-=tan^-1(4/3)=53^0`
So, the block will moveat angle `53^0` with the 15 N force.