A particle of mass 0.40 kg moves along the x-axis with a potential energy whose dependence on x is shown below. 16.0 12.0 8.0 12.0 16.0 20.0 x (m) -4.0 -12.0 -16.0 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.) x - 2.0 m F: x - 5.0 m x = 8.0 m x - 12 m (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)? minimum E maximum E (c) What are these positions (in m) if E = 4.0 ]? minimum EE maximum (d) If E = 18 ), what are the speeds of the particle (in m/s) at the positions listed in part (@)? x = 2.0 m m/s x = 5.0 m mis x = 8.0 m x = 12 m