The potential energy of a mass m in a certain region varies as: U(x) = (13x2 + 39x-70)(Joules) . The total mechanical energy of the mass is constant = 60 (Joules).
A. To what region of the x-axis is the particle limited?
B. What is the maximum speed of the particle if its mass is 0.5 kg, and for what value of x is the particle traveling at this speed?
C. For what value of x is the particle in equilibrium?