A single conservative force Fx = (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

1 Answer
Jan 25, 2018

29 J

Explanation:

We know that F=-(du)/(dx) for a conservative force acting,or, du=-F dx (where du is change in potential energy and F is the amount of force applied)

Given, F= 6x-12

So, du = -6x dx +12 dx

Integrating the above equation in the range of u=[0,U] and x=[0,3]

We get, U = 20+9 J or 29 J