A particle experiences a force given by .Find the potential field U(x)the particle is in.(Assume that the zero of potential energy is located at x = 0.) A) U(x) = -αx + x⁴ B) U(x) = αx - x⁴ C) U(x) = 3βx² D) U(x) = -3βx²

Question

Quizplus · Accepted Answer

We know that force, F = -dU/dx. Thus, integrating both sides of the equation, we get: U(x) = -∫ F(x) dx U(x) = -∫ (11ea83ea_69ab_966f_aeff_b593347e25e2_TB6394_11) dx U(x) = -αx + 11ea83ea_69ab_bd80_aeff_a904eccb11d1_TB6394_11 x⁴ Therefore, the correct option is A.

A Particle Experiences a Force Given by