Water is falling on the blades of a turbine from a height of $$25 \mathrm{~m}$$ and $$3 \times 10^3 \mathrm{~kg}$$ of water pours on the blade per minute. If the whole of energy is transferred to the turbine, then power delivered is

The range of a projectile is 100 m. Its kinetic energy will be maximum after covering a distance of

When a force F = 17 $$-$$ 2x + 6x$$^2$$N acts on a body of mass 2 kg and displaces it from x = 0 m to x = 8 m, the work done is

A rifle bullet loses $$\left(\frac{1}{25}\right)$$th of its velocity in passing through a plank. The least number of such planks required just to stop the bullet is