The work done by a force F → = - 5 x 4   i ^   N in displacing a body from x = 2   m to…

The work done by a force F→=-5x4 i^ N in displacing a body from x=2 m to x=-2 m is
  1. 6 J
  2. 8 J
  3. 64 J
  4. 0 J

Solution

Work donedW=F.→dr→

⇒dW=-5x4 i^.dx i^

⇒  dW=-5x4dx

⇒  W=∫dW=∫2-2-5x4dx

⇒  W=-x52-2=64 J

Asked in: AP EAMCET 2019 (21 Apr Shift 2)

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