When a particle is a distance r from the origin, its potential ...

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When a particle is a distance r from the origin, its potential energy function is given by the equation U(r) = kr, where k is a constant and r =
 
  (a) What are the SI units of k?
  (b) Find a mathematical expression in terms of x, y, and z for the y component of the force on the particle.
  (c) If U = 3.00 J when the particle is 2.00 m from the origin, find the numerical value of the y component of the force on this particle when it is at the point (-1.00 m, 2.00 m, 3.00 m).
  What will be an ideal response?

Question 2

A particle experiences a force given by F(x) =  - x3. 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) = -x + x4
  B) U(x) = x - x4
  C) U(x) = 3x2
  D) U(x) = -3x2

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Answer to Question 1

Answer: (a) kg  m/s2 (or J/m or N) (b) Fy = - (c) -0.802 N

Answer to Question 2

Answer: A

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