Find the acceleration of a body falling down a rough plane, inclined at an angle 30^@ . The force of friction is 0.2 times the normal reaction. After descending 1m along the inclined plane, what will be the change in the sum of the potential and the kinetic energies ? Mass o the body is 1g.

A body of mass 10 kg is pushed up 50 cm from the ground , along a plane inclined at 45^@ to the horizontal. If coefficient of friction is 0.2 , then calculate the work done.

A body is sliding down a plane at an angle of inclination theta . mu is the coefficient of friction. What is the acceleration of the body?

A car of mass 1000 kg moves up at 40 km *h^(-1) along an inclined plane of slope 1/(50) . Coefficient of rolling friction between the road and the wheels of the car is 0.3. Find the power of the car engine.

A block of mass 2 kg is placed on a plane inclined at an angle 30^(@) with the horizontal. Coefficient of friction between the block and the incline is (sqrt(3))/(2) . (i) Show that the block will not slide down the plane due to its weight alone. (ii) What force is needed to make the block slide down the incline without any acceleration? (iii) What force will be required to pull the block up along the incline without any acceleration?

A block of mass 2kg falls along a plane of inclination 60^@ . Coefficient of friction between the block and the plane =sqrt(3/2) . What force is to be applied on the block so that it slides down (ii) moves up , without any acceleration ? If the velocity of the block in both cases is the same, find the ratio of the effective powers.

A body is sliding down an inclined plane having coefficient of friction 0.5. If the normal reaction is twice that of the resultant downward force along the inclined plane , then find the angle between the inclined plane and the horizontal.

A block of mass M rests on an inclined plane. If the coefficient of friction between the block and the plane is mu then the block will slide down the plane under its own weight the angle of inclination is

A car of mass 500 kg is moving up along an inclined surface of slope 1/(25) at a constant speed of 72 km*h^(-1) . If the coefficient of friction between the road and the car wheel is 0.1 , find the power of the car engine (g= 9.8 m*s^(-2) ).