Aspring pendulum consists of mass m attached to one end of a massless spring with a spring constant k. it is constrained to move in a vertical plane. (a) draw a diagram to show all the necessary coordinates of the mass-spring system. (b) write the coordinates and velocity components of the mass. (c) find the kinetic energy and potential energy of the system.

Refrigerant-134a flows through a carnot heat pump cycle at 0.5 kg/s. it is known that the maximum absolute temperature in the cycle is 1.1 times the minimum absolute temperature, and the net power input to the cycle is 2.5 kw. if the refrigerant changes from a saturated vapor to a saturated liquid during the heat rejection process, determine the maximum magnitude of the enthalpy of vaporization for this process in kj/kg (with 3 significant figures).