Answer to Question #189609 in Physics for james

Question

An 80N force causes a spring to compress 0.15m. What is the spring constant? What is the potential energy of the spring?

Answer 1

(a) We can find the spring constant from the Hooke's Law:

$$F=kx,$$ $$k=\dfrac{F}{x}=\dfrac{80\ N}{0.15\ m}=533\ \dfrac{N}{m}.$$

(b) We can find the potential energy of the spring as follows:

$$PE=\dfrac{1}{2}kx^2,$$ $$PE=\dfrac{1}{2}\cdot533\ \dfrac{N}{m}\cdot(0.15\ m)^2=6.0\ J.$$