When we apply a horizontal force on a body kept on horizontal floor, a horizontal force starts opposing the net applied force. This force is called frictional force and is always tangential to the contact surface. Frictional force on a moving body is called kinetic friction which is directly proportional to the normal force `(f_(k)=mu_(k)N)` where `mu_(k)` is a constant depending upon the surfaces and is called the coefficient of kinetic friction. Frictional force on a static body is called static friction. Maximum value of static friction force is `(f_(s) le mu_(s)N)`, where `mu_(s)` is coefficient of static friction.

Now a man wants to slide down a block of mass m which is kept on a fixed inclined plane of inclination `30^(@)` as shown in figure initially, the block is not sliding. To just start sliding the man pushes the block down the inclined with a force F. Now the block starts accelerating. To move it downwards with constant speed, the man starts pulling the block with same force. Surfaces are such that ratio of maximum static friction to kinetic friction is 2. Now, answer the following questions.
If man continues pushing the block by force F, its acceleration would be

Options

A. `g//6`
B. `g//4`
C. `g//2`
D. `g//3`

Answer

D