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JEE Main202528 Jan 2025Evening ShiftPhysicsWork, Power and EnergyActual

A body of mass 4 kg is placed on a plane at a point P having coordinate (3,4) m . Under the action of force F =(2 i +3 j ) N , it moves to a new point Q having coordinates (6,10) m in 4 sec . The average power and instanteous power at the end of 4 sec are in the ratio of :

Options

  1. A13: 6
  2. B4: 3
  3. C1: 2
  4. D6: 13

Correct answer

D. 6: 13

Step-by-step solution

aligned & p = (2 i +3 j ) (3 i +6 j ) 4 =6 & a = ( F m = 1 2 i + 3 4 j ) & v at t =4 sec = ( 1 2 i + 3 4 j ) 4=(2 i +3 j ) & P_ ins =(2 i +3)(2 i +3 j )=13 & P P_ ins = 6 13 aligned

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