A book is pushed with a constant force of 1 N. It displaces 1 m in the direction of the force. The work done by the force is: 

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  1. +1 J
  2. -1 J
  3. 0
  4. 2 J

Answer (Detailed Solution Below)

Option 1 : +1 J
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The correct answer is +1 J.

Key Points

  • Work Done is defined as the product of the force applied and the displacement in the direction of the force.
  • The formula for work done is W = F × d, where W is the work done, F is the force, and d is the displacement.
  • In this case, the force (F) is 1 N and the displacement (d) is 1 m.
  • Therefore, the work done (W) is 1 N × 1 m = 1 J.
  • The positive sign indicates that the force and the displacement are in the same direction.

 Additional Information

  • Negative Work Done
    • Negative work occurs when the force and the displacement are in opposite directions.
    • In such cases, the work done is calculated as -F × d.
    • This situation typically occurs in scenarios involving friction or opposing forces.
  • Zero Work Done
    • Zero work is done when either the force is zero, or the displacement is zero, or the force is perpendicular to the direction of displacement.
    • In mathematical terms, this can be expressed as W = 0.
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