A body of mass 1 kg begins to move from rest under the action of a time dependent force F → = 2 t i ^ + 3 t…

A body of mass 1 kg begins to move from rest under the action of a time dependent force F→=2t i^+3t2 j^N, where i^and j^ are unit vectors along x and y axis. What power will be developed by the force at the time t?
  1. 2t2+3t3 W
  2. 2t2+4t4 W
  3. 2t3+3t4 W
  4. 2t3+3t5 W

Solution

a→=2ti^+3t2j^
V → = 2t 2 2 i ^ + 3 3 t 3 j ^
F→=2ti^+3t2j^
P=F→.V→=2t3+3t5

Asked in: NEET 2016 (Phase 1)

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