Work, Energy and Power · NEET Preparation Physics

The potential energy of a particle of mass 1text{ kg} moving along the x-axis is given by U(x) = frac{x^2}{2} - x. The equilibrium position of the pa…

Practice question from Work, Energy and Power (NEET Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-9FE978

The potential energy of a particle of mass 1 kg1\text{ kg} moving along the x-axis is given by U(x)=x22−xU(x) = \frac{x^2}{2} - x. The equilibrium position of the particle is at:

  1. A.x = 0
  2. B.x = 1 mCorrect answer
  3. C.x = -1 m
  4. D.x = 2 m

Solution

For equilibrium, the force must be zero, which means dUdx=0\frac{dU}{dx} = 0. Given U(x)=x22−xU(x) = \frac{x^2}{2} - x, differentiating with respect to xx gives dUdx=x−1\frac{dU}{dx} = x - 1. Setting this equal to zero gives x=1 mx = 1\text{ m}.

More from Work, Energy and Power

All of Work, Energy and Power

Practise more Physics

Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.

Start practising free

Free to start · No credit card needed