Find the y-component of the force at the position x = 2.0 m and y = 3.0 m associated with the potential energy function U = (7.0 J)+ (5.0 J/m)x + (4.0 J/m)y.

Question

Quizplus · Accepted Answer

The y-component of the force can be found by taking the negative derivative of the potential energy function U with respect to y. Given U = (7.0 J) + (5.0 J/m)x + (4.0 J/m)y, the derivative with respect to y is dU/dy = 4.0 J/m. The y-component of the force is F_y = -dU/dy = -4.0 N.

Find the Y-Component of the Force at the Position X