Question Detail

PHY 101 Work, Energy and Power Objective Question
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Question

The work done by a varying force F_x(x) as a particle moves from x₁ to x₂ along the x-axis is represented by which of the following?
Options
A The average value of the force multiplied by the displacement.
B The product of the initial force and the displacement.
C The area under the F_x versus x curve between x₁ and x₂.
Correct Answer
D The product of the final force and the displacement.
Correct Answer

Option C is the correct answer.

Detailed Explanation

For a varying force, work is calculated by integrating the force over the displacement: W = ∫ F_x dx. Graphically, this definite integral is exactly equal to the area under the force-versus-position curve between the initial and final positions.

Hint

Think of the graphical interpretation of work, similar to finding the area under a curve.

Question Info

Course: PHY 101
Topic: Work, Energy and Power
Type: Objective
Difficulty: Not specified
Question 779 of 1250
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