Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.PowerEasy2 minPYQ_2019

PhysicsEasysingle choice

A body is moving unidirectionally under the influence of a source of constant power. The square of its displacement in time $t$ is proportional to

Answer:

Solution:

By work-energy theorem,

$W = P \times t = \frac{1}{2} m v^{2}$

$\Rightarrow v^{2} = 2 \frac{P t}{m}$

$v = {(\frac{2 P t}{m})}^{1 / 2}$

or $\frac{d s}{d t} = {(\frac{2 P t}{m})}^{1 / 2}$

$\int d s = \int {(\frac{2 P t}{m})}^{1 / 2} d t$

$s = {(\frac{2 P}{m})}^{1 / 2} \cdot \frac{2}{3} t^{3 / 2}$

i.e. $s \propto t^{3 / 2}$

$s^{2} \propto t^{3}$

Stream:BITSATSubject:PhysicsTopic:W.E.P.Subtopic:Power

⏱ 2mℹ️ Source: PYQ_2019

Loading discussions...