Force & Potential Energy Video Lessons

Concept

# Problem: A certain spring is found not to obey Hookes law; it exerts a restoring force Fx(x)= - x- x2 if it is stretched or compressed, where = 60.0 N/m and = 18.0 N/m2. The mass of the spring is negligible.Calculate the potential energy function U(x) for this spring. Let U=0 when x=0.An object with mass 0.900 kg on a frictionless, horizontal surface is attached to this spring, pulled a distance 1.00 m to the right (the + x - direction) to stretch the spring, and released. What is the speed of the object when it is 0.50 m to the right of the x=0 equilibrium position?

###### FREE Expert Solution
83% (387 ratings)
###### Problem Details

A certain spring is found not to obey Hookes law; it exerts a restoring force Fx(x)= - x- x2 if it is stretched or compressed, where = 60.0 N/m and = 18.0 N/m2. The mass of the spring is negligible.

Calculate the potential energy function U(x) for this spring. Let U=0 when x=0.

An object with mass 0.900 kg on a frictionless, horizontal surface is attached to this spring, pulled a distance 1.00 m to the right (the + x - direction) to stretch the spring, and released. What is the speed of the object when it is 0.50 m to the right of the x=0 equilibrium position?