A particle which is experiencing a force, given by F → = 3 i ^ - 12 j ^ , undergoes a displacement of…

A particle which is experiencing a force, given by F=3i^-12j^, undergoes a displacement of d=4i^. If the particle had a kinetic energy of 3 J at the beginning of the displacement, what is its kinetic energy at the end of the displacement?
 
  1. 9 J.
  2. 15 J.
  3. 12 J.
  4. 10 J.

Solution

Work done by the force,F.s=3i^+12j^4i^=12 J

By work energy theorem, Wtotal=K

12 J=Kf-Ki12+Ki=Kf

Kf=12+3=15 J

Asked in: JEE Main 2019 (10 Jan Shift 2)

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