Questions in Work, Energy and Power

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A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is $\frac{{m{v^2}}}{r}$ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle
If the unit of force and length each be increased by four times, then the unit of energy is increased by
A man pushes a wall and fails to displace it. He does
The same retarding force is applied to stop a train. The train stops after 80 m. If the speed is doubled, then the distance will be
A body moves a distance of 10 m along a straight line under the action of a force of 5 N. If the work done is 25 joules, the angle which the force makes with the direction of motion of the body is
You lift a heavy book from the floor of the room and keep it in the book-shelf having a height 2 m. In this process you take 5 seconds. The work done by you will depend upon
A body of mass m kg is lifted by a man to a height of one metre in 30 sec. Another man lifts the same mass to the same height in 60 sec. The work done by them are in the ratio
A force $F = (5\hat i + 3\hat j)$ newton is applied over a particle which displaces it from its origin to the point $r = (2\hat i - 1\hat j)$ metres. The work done on the particle is
A force acts on a 30 gm particle in such a way that the position of the particle as a function of time is given by $x = 3t - 4{t^2} + {t^3}$, where x is in metres and t is in seconds. The work done during the first 4 seconds is
A body of mass 10 kg is dropped to the ground from a height of 10 metres. The work done by the gravitational force is $(g = 9.8\,m/{\sec ^2})$

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