When water falls from a height of $$80 \mathrm{~m}$$ at the rate of $$20 \mathrm{~kg} \mathrm{~s}^{-1}$$ to operate a turbine the losses due to frictional force are $$20 \%$$ of input energy. How much power is generated by the turbine?

An electric motor raises a mass of $$1.5 \mathrm{~kg}$$, a distance of $$1.128 \mathrm{~m}$$ in time of $$4.79 \mathrm{~s}$$. Calculate the power to an appropriate significant figures. (take $$g=9.81 \mathrm{~ms}^{-2}$$)

An object of mass $$3 \mathrm{~kg}$$ moves due to an applied constant force such that its position along $$\mathrm{X}$$ axis is given by $$x=\frac{t^3}{3}$$ where $$x$$ is in meters and $t$ in seconds. The work done in 1 second is

The power of a gun which fires 120 bullet per minute with a velocity $$120 \mathrm{~ms}^{-1}$$ is : (given the mass of each bullet is $$100 \mathrm{~g}$$)