The power of a pump,which can pump $200 \ kg$ of water to a height of $200 \ m$ in $10 \ s$,is ................ $kW$ $(g = 10 \ m/s^2)$.

$A$ body of mass $2 \ kg$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power $P$. Its displacement in $4 \ s$ is $\frac{1}{3} \alpha^2 \sqrt{P} \ m$. The value of $\alpha$ will be $.............$

From an automatic gun,a man fires $360$ bullets per minute with a speed of $360 \ km/h$. If each bullet weighs $20 \ g$,the power of the gun is $...... \ W$.

$A$ force $\vec{F} = (4 \hat{i} + \hat{j} - 2 \hat{k}) \text{ N}$ acting on a body maintains its velocity at $\vec{v} = (2 \hat{i} + 2 \hat{j} + 3 \hat{k}) \text{ m s}^{-1}$. The power exerted is $..... \text{ W}$.

$A$ particle is acted upon by a constant power. Then, which of the following physical quantity remains constant?

$A$ car of mass $2000 \ kg$ is accelerating from rest. If its engine is supplying a constant power of $10 \ kW$,then the velocity of the car at a time of $10 \ s$ is: (in $m \ s^{-1}$)