Question
Question: A 10 kg object is acted on by a conservative force given by F = - 2x – 6x<sup>2</sup>, with F in new...
A 10 kg object is acted on by a conservative force given by F = - 2x – 6x2, with F in newtons and x in metres. Take the potential energy associated with the force to be zero when the object is at x = 0. The potential energy of the system at x = 2 m is:
A
16 J
B
20 J
C
24 J
D
32 J
Answer
20 J
Explanation
Solution
Ux = - 
Ux = x2 + 2x3
at x = 2
U = 4 + 16 = 20 J