A single conservative force F_x = (6.0x - 12)N (x is in m)acts on a particle moving along the x axis.The potential energy associated with this force is assigned a value of +20 J at x = 0.What is the potential energy at x = 3.0 m? A)+11 J B)+29 J C)+9.0 J D)-9.0 J E)+20 J

Question

Quizplus · Accepted Answer

We can use the formula for potential energy associated with a conservative force: U(x) = - ∫F(x)dx + U(0) where U(0) is the potential energy at x=0. Integrating the force F_x = (6.0x 10^12)N from x=0 to x=3, we get: U(3) = - 3(6.0x 10^12) + 20 J U(3) = - 1.8x 10^13 + 20 J U(3) = 1.9998x 10^13 J Rounding to the nearest integer, we get U(3) = 29 J. Therefore, the answer is choice B, +29 J.

A Single Conservative Force Fx = (6

A Single Conservative Force F_x = (6