A body of mass `m` is hauled from the Earth's surface by applying a force F varying with the height of ascent `y` as `F=2(ay-1)mg`, whera a is a positive constant. Find the work performed by this force and the increment of the body's potential energy in the gravitational field of the Earth over the first half of the ascent.

A body of mass m was slowly hauled up the hill (figure) by a force F which at each point was directed along a tangent to the trajectory. Find the work performed by this force, if the height of the hill is h, the length of its base l, and the coefficient of friction k.

A body of mass m is placed on the earth surface is taken to a height of h=3R , then, change in gravitational potential energy is

A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be

A body of mass m is taken from the earth's surface to the height equal to twice the radius (R) of the earth.The change in potential energy of body will be

A body of mass m was slowly hauled up the hill as shown in the fig. by a force F which at each point was directed along a tangent to the trajectory. Find the work performed by this force, if the height of the hill is h, the length of its base is I and the coefficient ot friction is mu . .

A body of mass m was slowly pulled up the hill by a force F which at each point was directed along the tangent of the trajectory. All surfaces aresmooth. Find the work performed by this force.

If a body of mass m is raised to height 2 R from the earth s surface, then the change in potential energy of the body is (R is the radius of earth)

A body of mass m is slowly hauled up a rough hill as shown in fig by a force F which acts tangential to the trajectory at each point. Find the work performed by the force, if the height of hill is h, the length of its base l and coefficient of friction between the body and hill surface is m. What is the work done if body is moved along some alternative path shown by the dotted line, friction coefficient being same.

A force given by the relation F=8t , acts on a body of mass 2 kg , initialiy at rest. Find the work done by this force on the body during first 2 seconds of its motion.

A force F=(y^(2)+2y+5) N acts on a block in positive y- direction.Find the work done by this force during a displacement from y=-1m to y=+1m .