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A body is moved from position X to Y along four different paths as shown in the given figure. The work done in moving the object in the gravitational field will

Correct answer: D. Be same and equal to its potential energy.

  • A. Vary at different paths.
  • B. Be greater for the longer path.
  • C. Be same and equal to its kinetic energy.
  • D. Be same and equal to its potential energy.

Explanation

The correct answer is that the work done in moving the object in a gravitational field is the same regardless of the path taken, as long as the initial and final positions are the same. This is because gravity is a conservative force, and thus, the work done only depends on the vertical displacement or change in potential energy. Therefore, the work done is not related to the path length or kinetic energy.

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About Potential Energy

Potential energy is energy stored because of position or configuration, including gravitational potential energy near Earth's surface and elastic energy in a stretched or compressed spring. Questions use changes in potential energy and conservation of mechanical energy, while distinguishing a chosen reference level from an absolute zero of energy.

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