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

PhysicsW.E.P.PowerMedium2 minPYQ_2020

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A particle of mass $m$ is driven by a machine that delivers a constant power $k$ watts. If the particle starts from rest the force on the particle at time $t$ is:

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Answer:

Solution:

$F v = c o n s t a n t = k$

$\frac{m d v}{d t} v = k$

$\int v d v = \int \frac{k}{m} d t$

$\frac{v^{2}}{2} = \frac{k}{m} t$

$v = \sqrt{\frac{2 k}{m} t}$

$F = \frac{m d v}{d t}$

$= m \sqrt{\frac{2 k}{m}} \frac{1}{2} t^{- \frac{1}{2}}$

$= \sqrt{\frac{m k}{2}} t^{- \frac{1}{2}}$

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

⏱ 2mℹ️ Source: PYQ_2020

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