Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

What is the work done by a spring force when it moves from an initial compression x_i to a final compression x_f?
Options
A W_s = ½k(x_f² - x_i²)
B W_s = -½k(x_f² - x_i²)
C W_s = ½k(x_i² - x_f²)
Correct Answer
D W_s = -½k(x_i² - x_f²)
Correct Answer

Option C is the correct answer.

Detailed Explanation

The work done by the spring force is W_s = ∫ F_s dx = ∫ (-kx) dx = ½kx_i² - ½kx_f² = PE_{si} - PE_{sf}.

Hint

Work done by spring = initial spring PE - final spring PE.

Question Info