Work, Energy and Power

A ball with a speed of 9m/s collides with another identical ball at rest. After the collision the direction of each ball makes an angle 30° with the original direction. The ratio of velocities of the balls after collision is x : y, where x is_________.

What are conservative and non conservative forces?

A 0.5kg block moving at a speed of 12ms1 compresses a spring through a distance 30cm when its speed is halved. The spring constant of the spring will be…………Nm1.

A particle moves with a velocity v = (5i - 3j + 6k) ms^-1 under the influence of a constant force F = (i - j - k)N. The instantaneous power applied to the particle is ______ Watts.

A ball of mass 0.15 kg is dropped from a height. 10 m, strikes the ground and rehounds to the same height. The magnitude of impulse imparted to the ball is (g = 10 m/s² ) nearly:
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A bullet from a gun is fired on a rectangular wooden block with velocity $u$ . When bullet travels 24cm through the block along its length horizontally, velocity of bullet become $\frac{u}{3}$ . Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:

The potential energy of a long spring when stretched by <!-- [if gte msEquation 12]>2cm 2 cm <!--[endif]--><!--[endif]--> is U. If the spring is stretched by 8 cm , potential energy stored in it will be:
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Water falls from a height of $\frac{1}{3}{\mathrm{n}\mathrm{m}\mathrm{v}}^{-2}$ at the rate of $\sqrt[]{\frac{3\mathrm{R}\mathrm{T}}{\mathrm{M}}}$ to operate a turbine. The losses due to frictional force are $\frac{5}{2}\mathrm{R}\mathrm{T}$ of the input energy. How-much power is generated by the turbine? $\frac{3}{2}{\mathrm{k}}_{\mathrm{B}}\mathrm{T}$  )
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A particle is released from height $S$  from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively:

A bullet from a gun is fired on a rectangular wooden block with velocity $u$ . When bullet travels $24\mathrm{c}\mathrm{m}$ through the block along its length horizontally, velocity of bullet become $\frac{u}{3}$ . Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
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