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?

$A$ body of mass $2 \ kg$ begins to move under the action of a time-dependent force given by $\overrightarrow{F} = (6t \hat{i} + 6t^2 \hat{j}) \ N$. The power developed by the force at time $t$ is given by:

$A$ block of mass $10\, kg$ accelerates uniformly from rest to a speed of $2\, m/s$ in $20\, s$. The average power developed in the time interval of $0$ to $20\, s$ is .............. $W$.

$A$ car of mass $1200 \,kg$ (together with the driver) is moving with a constant acceleration of $2 \,m/s^2$. How much power does the engine generate at the instant when the speed reaches $20 \,m/s$ (in $\,W$)? (Assume that the coefficient of friction between the car and the road is $0.5$ and $g = 10 \,m/s^2$).

$A$ 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

An electric motor exerts a force of $40\, N$ on a cable and pulls it by a distance of $30\, m$ in one minute. The power supplied by the motor is .............. $W$