A block of mass 2 kg is pushed against a rough vertical wall with a force os 40 N. Coefficient of static friction being 0.5. Another horizontal force is 15 N, is applied on the block in a direction paralle 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.

Options

A. will move at angle `37^(@)` with vertical with acceleration `5//2 ms^(-2)` downward.
B. will move at angle `37^(@)` with vertical with acceleration `5//2 ms^(-2)` upward.
C. will move at angle `45^(@)` with vertical with acceleration `5//2 ms^(-2)` downward.
D. none of these

Answer

a

Explanation

`25 - f = ma`

`rArr 25 - 20 = rArr 2.5ms^(-2)`
`tan theta = (15)/(20) rArr theta = 37^(@)`