A particle of mass 100 g m moves in a potential well given by U = 8 x 2 - 4 x + 400 j o u l e . Find its acceleration at a distance of 25 c m from equilibrium in the positive direction

Question

A particle of mass 100 g m moves in a potential well given by U = 8 x 2 - 4 x + 400 j o u l e . Find its acceleration at a distance of 25 c m from equilibrium in the positive direction, 4 m s - 1, 40 m s - 1, -40 m s - 1, -4 m s - 1

MARKS App · Accepted Answer

We know that F = - d U d x F = - d d x 8 x 2 - 4 x + 400 F = - 16 x - 4 F = 4 - 16 x At equilibrium 4 - 16 x 0 = 0 and x 0 = 1 4 m = 25 cm At the given position x = 25 + 25 = 50 c m ⇒ F = 4 - 16 × 0 .5 = - 4 N or a = - 4 0.1 = - 40 m s - 2

Search any question & find its solution

Looking for more such questions to practice?