A particle of mass 0.5 kg moves along the a - axis with a potential energy whose dependence on c is shown below. Hint 1 Hint 2 U(x)(J) A 12.0+ 8.0- = = =. 4.0- 4.0 8.0 12.0 16.0 20.0 x(m) -4.0+ -8.0 -12.0 Plot Description a. What is the force on the particle at the specified positions? F(x = 2m) = 0 VN F(x = 5m) = 2 X N F(x = 8m) = 6 IN F(x = 12m) = 0 b. If the total mechanical energy E of the particle is -8 J, what are the minimum and maximum positions of the particle? I min = 9.2 m I max 14.8 vm c. If E = 18 J, what are the speeds of the particle at the positions listed in part (a)? v(x = 2m) = 7.48 v m/ s v(