# Question

A potential-energy function is given by U = C/x, where C is a positive constant.

(a) Find the force Fx as a function of x.

(b) Is this force directed toward the origin or away from it?

(c) Does the potential energy increase or decrease as x increases?

(d) Answer parts (b) and (c) where C is a negative constant.

(a) Find the force Fx as a function of x.

(b) Is this force directed toward the origin or away from it?

(c) Does the potential energy increase or decrease as x increases?

(d) Answer parts (b) and (c) where C is a negative constant.

## Answer to relevant Questions

On the potential-energy curve for U versus y shown in Figure, the segments AB and CD are straight lines. Sketch a plot of the force Fy versusy.The force acting on an object is given by F(x) = x3 4x. Locate the positions of unstable and stable equilibrium and show that at these points U(x) is a local maximum or minimum, respectively.A 2.4-kg object attached to a horizontal string moves with constant speed in a circle of radius R on a frictionless horizontal surface. The kinetic energy of the object is 90 J and the tension in the string is 360 N. Find R.A 3-kg particle starts from rest at x = 0 and moves under the influence of a single force Fx = 6 + 4x − 3x2 where Fx is in Newtons and x is in meters. (a) Find the work done by the force as the particle moves from x ...(Multiple choice) (1) A woman runs up a flight of stairs. The gain in her gravitational potential energy is U. If she runs up the same stairs with twice the speed, what will be her gain in potential energy (a) U (b) ...Post your question

0