If the force $\vec{F} = (60\hat{i} + 15\hat{j} - 3\hat{k}) \, N$ and the velocity $\vec{v} = (2\hat{i} - 4\hat{j} + 5\hat{k}) \, m/s$,then what is the instantaneous power in Watts?

Power of a water pump is $2 \, kW$. If $g = 10 \, m/s^2$,the amount of water it can raise in one minute to a height of $10 \, m$ is .............. $liter$.

An engine pumps water continuously through a hose. Water leaves the hose with a velocity $v$ and $m$ is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

$A$ car of mass $m$ is driven with acceleration $a$ along a straight level road against a constant external resistive force $R$. When the velocity of the car is $V$,the rate at which the engine of the car is doing work will be

$A$ particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement $(s)$ - time $(t)$ graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale)

An electric motor creates a tension of $4500 \, N$ in a hoisting cable and reels it in at the rate of $2 \, m/s$. What is the power of the electric motor?