If a box of mass 25 kg is pushed 15 m by a force of ‘F’ N and work done in the process is 480 J. Find F:

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RRB ALP Fitter 21 Jan 2019 Official Paper (Shift 2)
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  1. 50
  2. 32
  3. 16
  4. 25

Answer (Detailed Solution Below)

Option 2 : 32
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Detailed Solution

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CONCEPT:

  • Work: Work is said to be done by a force when the body is displaced actually through some distance in the direction of the applied force.
  • Since the body is being displaced in the direction of F, therefore work done by the force in displacing the body through a distance s is given by:

  • Thus work done by a force is equal to the scalar or dot product of the force and the displacement of the body.

EXPLANATION:

Given that:

Mass (m) = 25 kg.

Distance (s) = 15 m.

Work (W) = 480 J.

Using equation:

∴ 480 = F × 15

F = 

Force = 32 N.

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