If the heart pumps $1 \ cc$ of blood in $1 \ s$ at a pressure of $20000 \ N/m^2$,find the power of the heart in $W$.

$A$ particle of mass $M$,starting from rest,undergoes uniform acceleration. If the speed acquired in time $T$ is $V$,the power delivered to the particle is

An automobile engine of mass $m$ provides constant power $P$. The acceleration is given by $a = \frac{P}{mv}$. (Assume friction is absent). What is the distance covered by the vehicle while its velocity increases from $V_1$ to $V_2$?

$A$ body of mass $1 \ kg$ begins to move under the action of a time-dependent force $\vec{F} = (t \hat{i} + 2t^2 \hat{j}) \ N$,where $\hat{i}$ and $\hat{j}$ are unit vectors along $x$ and $y$ axes. The power developed by the above force at time $t = 3 \ s$ will be: (in $W$)

$A$ 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 $m \ s^{-1}$)

$A$ man is riding a cycle with a velocity of $7.2 \text{ km/hr}$ up a hill having a slope of $1$ in $20$. The total mass of the man and the cycle is $100 \text{ kg}$. The power of the man is ............ $\text{W}$. (in $\text{ W}$)