Question Detail

PHY 101 Work, Energy and Power Objective Question
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Question

What is the general formula for work done by a variable force F_x as a particle moves from x₁ to x₂?
Options
A W = F_x (x₂ - x₁)
B W = ∫ F_x dx
Correct Answer
C W = dF_x/dx
D W = ½ F_x (x₂² - x₁²)
Correct Answer

Option B is the correct answer.

Detailed Explanation

For a varying force, the work done is the integral of the force over the displacement: W = ∫_{x₁}^{x₂} F_x dx. This represents the total area under the force-versus-position curve.

Hint

It's the limit of a sum of small works over tiny displacements.

Question Info

Course: PHY 101
Topic: Work, Energy and Power
Type: Objective
Difficulty: Not specified
Question 386 of 1250
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