Water falls from a waterfall onto the blades of a turbine at a rate of $100 \ kg/s$. If the height of the fall is $100 \ m$,what is the power generated by the turbine?

From a waterfall,water is pouring down at the rate of $100 \,kg/s$ on the blades of a turbine. If the height of the fall is $100 \,m$,the power delivered to the turbine is approximately equal to .......... $kW$.

$A$ body of mass $m$ starts from rest and moves with uniform acceleration such that it attains a velocity $v$ in time $T$. The instantaneous power delivered to the body as a function of time $t$ is given by:

$A$ cylindrical well of radius $2.5 \ m$ has water up to a height of $14 \ m$ from the bottom. If the water level is at a depth of $6 \ m$ from the top of the well,then the time taken (in minutes) to empty the well using a motor of $10 \ HP$ is approximately,(Take $g = 10 \ m/s^2$)

The power utilized when a force of $(2 \hat{i}+3 \hat{j}+4 \hat{k}) \text{ N}$ acts on a body for $4 \text{ s}$, producing a displacement of $(3 \hat{i}+4 \hat{j}+5 \hat{k}) \text{ m}$, is (in $\text{ W}$)

$A$ force of $(2\hat{i} + 3\hat{j} + 4\hat{k})\,N$ acts on a body for $4\,s$ and produces a displacement of $(3\hat{i} + 4\hat{j} + 5\hat{k})\,m$. The power used is :- ............... $W$ (in $.5$)