$A$ body of mass $m$ is initially at rest. It is subjected to a uniform acceleration such that it acquires a velocity $v$ in time $T$. The instantaneous power supplied to the body as a function of time $t$ is . . . . . . .

  • A
    $\frac{mv^2}{T^2}t$
  • B
    $\frac{mv^2}{T^2}t^2$
  • C
    $\frac{mv^2t}{2T^2}$
  • D
    $\frac{mv^2t^2}{2T^2}$

Explore More

Similar Questions

$1\,kWh$ is a unit of power. This statement is true or false? If it is wrong,then correct it.

$A$ train of mass $2.05 \times 10^6 \ kg$ changes its velocity from $5 \ m/s$ to $25 \ m/s$ in $5 \ minutes$. The power of the engine is . . . . . . $MW$.

$A$ car of mass $1000 \ kg$ accelerates uniformly from rest to a velocity of $54 \ km/h$ in $5 \ s$. The average power of the engine during this period in watts is .............. $W$ (neglect friction).

The power of a water pump is $4 \,kW$. If $g = 10 \,m/s^2$,the amount of water it can raise in $1 \,minute$ to a height of $20 \,m$ is ........... $litres$.

$A$ force applied by an engine on a train of mass $2.05 \times 10^6 \ kg$ changes its velocity from $5 \ m/s$ to $25 \ m/s$ in $5 \ minutes$. The power of the engine is (in $MW$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo