Question
An object of mass m is constrained to move along the x-axis only. It experiences a potential energy function \(U=\frac{1}{2}kx^{2}-bx\), where U is in joules and x is in meters. Which of the following represents the net force F on the object?
(A) \(b-kx\)
(B) \(kx-b\)
(C) \(\frac{kx^{3}}{6}-bx^{2}\)
(D) \(bx^{2}-\frac{kx^{3}}{6}\)
(E) \(kx+b\)
Answer/Explanation
Ans:
A—Take the negative derivative of a potential energy function to get force. Here, the force is –kx + b.