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

Potential energy of a particle at position x is given by U = x² – 5x. Which of the following is equilibrium position of the particle?
x = 0
x = 2.5 m
x = 5 m
x = 7.5 m

Solution:

For Equilibrium,

dU/dx = 0

⇒ d(x²-5x)/dx=0

⇒ 2x-5 = 0

⇒ x =2.5 m

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