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Question: Answered & Verified by Expert
A body of mass m accelerates uniformly from rest to v1 in time t1. The instantaneous power delivered to the body as a function of the t is
PhysicsWork Power EnergyJEE Main
Options:
  • A m ν 1 t t 1
  • B m ν 1 2 t t 1 2
  • C m ν 1 t 2 t 1
  • D m ν 1 2 t t 1
Solution:
2481 Upvotes Verified Answer
The correct answer is: m ν 1 2 t t 1 2
Acceleration a = ν 1 t 1  

∴   Velocity ( ν ) = 0 + a t = ν 1 t 1 t 

Power P = Force × velocity = m a ν  

or P = m ( ν 1 t 1 ) × ( ν 1 t t 1 ) = m ν 1 2 t t 1 2

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