Which of the following can increase the work done by a force on an object? 

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RRB Technician Grade III Official Paper (Held On: 30 Dec, 2024 Shift 3)
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  1. Reducing the mass. 
  2. Reducing the displacement. 
  3. Reducing the force. 
  4. Increasing the displacement. 

Answer (Detailed Solution Below)

Option 4 : Increasing the displacement. 
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Detailed Solution

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The Correct answer is Increasing the displacement.

Key Points

  • The work done by a force on an object is calculated using the formula: Work = Force × Displacement × cos(θ), where θ is the angle between the force and displacement vectors.
  • Increasing the displacement directly increases the work done if the force and displacement are in the same direction (θ = 0 degrees).
  • The work done depends on the magnitude of the displacement, as a larger displacement under the same force results in higher work.
  • If the displacement increases while the force remains constant, the object moves farther, contributing to more work being done.
  • In physics, work is a measure of the energy transfer that occurs when an object is moved over a distance by an external force.
  • Thus, increasing the displacement is a practical way to enhance the work done, provided the force remains constant and is applied in the same direction.
  • This concept is widely applied in real-life scenarios, such as in machinery, where increasing the range of motion can yield higher energy output.

 Additional Information

  • Reducing the mass
    • Reducing the mass does not directly affect the work done, as work depends on force and displacement, not the mass of the object.
    • However, a lighter object requires less force to move, which can indirectly influence how much work is done under varying conditions.
  • Reducing the displacement
    • Reducing the displacement decreases the work done, as work is proportional to the magnitude of displacement.
    • This option is incorrect because it contradicts the principle of maximizing work by increasing displacement.
  • Reducing the force
    • Reducing the force also decreases the work done, as work is directly proportional to the applied force.
    • This option is incorrect because lowering the force reduces the energy transfer to the object, resulting in less work being done.
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