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CGP EDU Academic Team
Published on: September 12, 2026
Adjacent figure shows the force-displacement graph of a moving body, what is the work done by this force in displacing body from x = 0 to x = 35 m?
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Understand the work done by a force. Work done (W) is calculated as the area under the force-displacement graph.
Step 2: Identify the sections of the graph:
Total Work Done (W) = 150 J + 200 J + 0 J = 350 J.
Therefore, the work done by the force in displacing the body from x = 0 to x = 35 m is 350 J.
Step 2: Identify the sections of the graph:
- From x = 0 to x = 10 m, the force is constant at 15 N.
- From x = 10 to x = 30 m, the force is constant at 10 N.
- From x = 30 to x = 35 m, the force is 0 N.
- For x = 0 to x = 10 m: Area = base × height = 10 m × 15 N = 150 J.
- For x = 10 to x = 30 m: Area = base × height = 20 m × 10 N = 200 J.
- For x = 30 to x = 35 m: Area = 0 (since the force is 0 N).
Total Work Done (W) = 150 J + 200 J + 0 J = 350 J.
Therefore, the work done by the force in displacing the body from x = 0 to x = 35 m is 350 J.
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