Rankers Physics
Topic: Work Energy and Power
Subtopic: Potential Energy & Equilibrium

In a certain field, the potential energy is U = ax² – bx³, where a and b constants. The particle is in stable equilibrium at x equal to
zero
a/3b
2a/3b
2a/b

Solution:

Potential Energy is U = ax² – bx³. For Equilibrium F = -dU/dx

⇒ dU/dx= 2ax- 3bx²=0

⇒ x = 2a/3b

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