Aplanet moves in an elliptical orbit around the sun. the mass of the sun is ms. the minimum and maximum distances of the planet from the sun are r1 and r2. using kepler's 3rd law and newton's law of universal gravitation, find the period of revolution p of the planet as it moves around the sun. assume that the mass of the planet is much smaller than the mass of the sun. use g as the gravitational constant

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).