An object having mass m is attached to a spring of force constant k oscillates with simple harmonic motion. The total mechanical energy of the system is E and the maximum displacement from equilibrium is A. What is the system's potential energy when its kinetic energy is equal to 3/4E?

The system's potential energy is

Explanation:

The total mechanical energy of the system is E which the sum of the potential energy and the kinetic energy.

The total energy of a simple harmonic oscillator is given as E = .

The system's kinetic energy is given as

Total system Energy (E) = Potential Energy (P) + Kinetic Energy (K)

                                  E = P+K

                                  P = E - K

                                   P =

                                   P = =

   Potential Energy (P) of the system =          

truck y has a greater velocity than truck x.