A particle moves in a potential given by U(x) = -7 x5 + 52 x + 85  (J).  Calculate the x coordinate of the stable equilibrium of this potential, in m.  Note that your answer could be positive or negative.

icon
Related questions
Question

A particle moves in a potential given by U(x) = -7 x5 + 52 x + 85  (J).  Calculate the x coordinate of the stable equilibrium of this potential, in m.  Note that your answer could be positive or negative.

(Please answer to the fourth decimal place - i.e 14.3225)

Expert Solution
Step 1

The given potential is

Ux=-7x5+52x+851

At equilibrium, the derivative of potential with respect to distance is zero.

dUdx=0-35x4+52=0x4=5235x=±1.1040m2

steps

Step by step

Solved in 2 steps

Blurred answer