A particle of mass 0.30 kg moves along the x-axis with a potential energy whose dependence on x is shown below.

 

a. What is the force on the particle (in N) at x = 2.0, 5.0, 8.0, and 12 m? (Indicate the direction with the signs of your answers.)

b. If the total mechanical energy E of the particle is −8.0 J, what are the minimum and maximum positions of the particle (in m)?

   i. minimum

   ii. maximum 

c. What are these positions (in m) if E = 4.0 J?

   i. minimum

   ii. maximum 

d. If E = 20 J, what are the speeds of the particle (in m/s) at the positions listed in part (a)?

 

U(X) (D) 20.0 16.0 12.0 8.0 4.0 x (m) 4.0 8.0 12.0 16.0 20.0 -4.0 -8.0 -12.0 -16.0 -20.0