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What is the work done in moving a mass from a point A to point B in a uniform gr
What is the work done in moving a mass from a point A to point B in a uniform gravitational field?
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Practice Questions
1 question
Q1
What is the work done in moving a mass from a point A to point B in a uniform gravitational field?
Depends on the path taken
Zero
Equal to the change in gravitational potential energy
Equal to the gravitational force times distance
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The work done is equal to the change in gravitational potential energy, which depends on the initial and final positions.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the work done in moving a mass from a point A to point B in a uniform gravitational field?
Solution:
The work done is equal to the change in gravitational potential energy, which depends on the initial and final positions.
Steps: 8
Show Steps
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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