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

PhysicsW.E.P.PowerHard2 minPYQ_2012

PhysicsHardsingle choice

A car of mass $m$ starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude $P_{0}$ . The instantaneous velocity of this car is proportional toNEET 2012 (Mains)

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Answer:

Solution:

Power $P_{0} = F v$ $= (m \frac{d v}{d t}) v = m v \frac{d v}{d t}$ Integrating both sides $\int P_{0} d t P_{0} t v^{2} v = \int m v d v = \frac{m v ^{2}}{2} = \frac{2 P _{0} t}{m} \propto t^{1/2}$

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

⏱ 2mℹ️ Source: PYQ_2012

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