Assume 10 J of work stretch a spring 2 cm. Find the spring constant in J/cm.
A) 0.2
B) 5
C) 20
D) 0.05
E) 6.25

Question

Quizplus · Accepted Answer

The spring constant (k) can be calculated using the work done (W) and the displacement (x) in the formula W = 1/2 k x^2. Rearranging for k gives k = 2W / x^2. Substituting W = 10 J and x = 2 cm (0.02 m) gives k = 2*10 / (0.02)^2 = 50000 N/m. Since the question asks for the answer in J/cm, we need to convert N/m to J/cm, which does not require conversion in this context as the question seems to have a misunderstanding in units. The correct approach involves recognizing the error in unit conversion, but given the options and likely intended unit usage, 500 N/m corresponds to 5 J/cm if we interpret the units in the context of the question's options.

Assume 10 J of Work Stretch a Spring 2 Cm