Can work done by a body be negative or positive?

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Mathematically,

W = (F cos θ) d = F. d

  • W is the work done by the force.
  • F is the force, d is the displacement caused by the force
  • θ is the angle between the force vector and the displacement vector

Work done by a force applied on a body is:

  • When the direction of motion of the body and the force acting in the same direction, work done is positive.
  • When the direction of motion of the body and the force acting on the body is opposite, work done is negative.
  • When the force is acting at a right angle to the direction of motion of the body, work done is zero.

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