The coefficient of friction between a horizontal surface and a moving body is `mu`. With what speed must a body of mass `m` be projected parallel to the surface to travel a distance S before stopping ?

A rectangular box lies on a rough incli ned surface. The co-efficient of friction between the surface and the box is mu. Let the mass of the box is be m. What is the force needed to be applied upwards along the plane to make the box either remains stationary or just move up with unifrom speed?

A rectangular box lies on a rough incli ned surface. The co-efficient of friction between the surface and the box is mu. Let the mass of the box is be m. At what angle of inclination theta of the plane to the horizontal will the box just start to slide down the plane?

A rectangular box lies on a rough incli ned surface. The co-efficient of friction between the surface and the box is mu. Let the mass of the box is be m. What is the force needed to be applied upwards along the plane to make the box move up the plane with acceleration alpha ?

A rectangular box lies on a rough inclined surface at theta . The co-efficient of friction between the surface and the box is mu. Let the mass of the box is m. What is the force acting on the box down the plane, if the angle of inclination of the plane is increased to alpha>theta ?

If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is

In the figure, a body A of mass m slides on plane inclined at angle theta_1 to the horizontal and mu_1 is the coefficient of friction between A and the plane. A is connected by a light string passing over a fictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle theta_2 to the horizontal which of the following statements are true ?

Refractive index of water is 5//3 . A light source is placed in water at a depth of 4m. Then what must be the minimum radius of disc placed on water surface so that the light of source can be stopped?

The escape speed of a projectile on the earth’s surface is 11.2 km s^-1 . A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done against force of friction