Questions in Work, Energy and Power

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A ball is released from the top of a tower. The ratio of work done by force of gravity in first, second and third second of the motion of the ball is
A particle moves under the effect of a force F = Cx from x = 0 to $x = {x_1}$. The work done in the process is
A cord is used to lower vertically a block of mass M by a distance d with constant downward acceleration $\frac{g}{4}$. Work done by the cord on the block is
Two springs have their force constant as ${k_1}$ and ${k_2}({k_1} > {k_2})$. When they are stretched by the same force
A spring of force constant 10 N/m has an initial stretch 0.20 m. In changing the stretch to 0.25 m, the increase in potential energy is about
The potential energy of a certain spring when stretched through a distance ‘S’ is 10 joule. The amount of work (in joule) that must be done on this spring to stretch it through an additional distance ‘S’ will be
Two springs of spring constants 1500 N/m and 3000 N/m respectively are stretched with the same force. They will have potential energy in the ratio
A spring 40 mm long is stretched by the application of a force. If 10 N force required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is
A position dependent force $F = 7 - 2x + 3{x^2}\,newton$ acts on a small body of mass 2 kg and displaces it from $x = 0$ to $x = 5\,m$. The work done in joules is
A body of mass 3 kg is under a force, which causes a displacement in it is given by $S = \frac{{{t^3}}}{3}$ (in m). Find the work done by the force in first 2 seconds

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