Two oscillating systems that you have studied are the block-spring and the simple pendulum. There is an interesting relation between them. Suppose that you have a weight on the end of a spring, and when the weight is in equilibrium, the spring is stretched a distance h. Show that the frequency of this block-spring system is the same as that of a simple pendulum whose length is h.

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).