What is the work done in moving a mass from a point A to point B in a uniform gr

Practice Questions

Q1
What is the work done in moving a mass from a point A to point B in a uniform gravitational field?
  1. Depends on the path taken
  2. Zero
  3. Equal to the change in gravitational potential energy
  4. Equal to the gravitational force times distance

Questions & Step-by-Step Solutions

What is the work done in moving a mass from a point A to point B in a uniform gravitational field?
  • Step 1: Understand that work done is related to energy changes when moving an object in a gravitational field.
  • Step 2: Identify the two points: Point A (initial position) and Point B (final position).
  • Step 3: Determine the height of Point A and Point B above a reference level (like the ground).
  • Step 4: Calculate the change in height by subtracting the height of Point A from the height of Point B.
  • Step 5: Use the formula for gravitational potential energy: PE = mass × gravity × height.
  • Step 6: Calculate the gravitational potential energy at Point A and Point B using their respective heights.
  • Step 7: Find the change in gravitational potential energy by subtracting the potential energy at Point A from that at Point B.
  • Step 8: The work done in moving the mass from Point A to Point B is equal to this change in gravitational potential energy.
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