A constant force F acts on a body of mass m i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The power $P$ delivered by a force $F$ is given by the formula $P = F \cdot v$,where $v$ is the velocity of the body.Since the force $F$ is consta

Vedclass · Accepted Answer

Vedclass · Answer

(D) The power $P$ delivered by a force $F$ is given by the formula $P = F \cdot v$,where $v$ is the velocity of the body.Since the force $F$ is constant,the acceleration $a$ of the body is also constant,given by $a = F/m$.Starting from rest $(u = 0)$,the velocity $v$ at any time $t$ is given by $v = u + at = 0 + (F/m)t = (F/m)t$.Substituting this into the power formula,we get $P = F \cdot ((F/m)t) = (F^2/m)t$.Since $F$ and $m$ are constants,$P \propto t$.This represents a linear relationship between power $P$ and time $t$,which is a straight line passing through the origin.Therefore,the graph showing a linear increase of power $P$ with time $t$ is correct,which corresponds to option $D$.

$A$ constant force $F$ acts on a body of mass $m$ initially at rest. Which of the following graphs correctly represents the variation of the power $P$ developed with time $t$?

Similar Questions

$A$ girl of mass $50 \,kg$ is swinging on a cradle. If she moves with a velocity of $2 \,ms^{-1}$ in a direction making an angle of $60^{\circ}$ with the vertical, then the power generated by the gravitational force is $\left(g=9.8 \,ms^{-2}\right)$.

$A$ body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time $t$ is proportional to :

The force acting on a particle moving in a straight line varies with the velocity of the particle as $F = \frac{K}{v}$,where $K$ is a constant. The work done by this force in time $t$ is

$A$ body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time $t$ is proportional to

$A$ body of mass $m$ starts from rest and is accelerated uniformly to a velocity $v_1$ in time $t_1$. The instantaneous power delivered to the body as a function of time $t$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module