Kepler’s third law can be used to derive the relation between the orbital period, p (measured in days), and the semimajor axis, a (measured in au), of an orbiting body. the relation is given by the equation p2 = ka3, where k is a constant value for all bodies orbiting that star. the semimajor axis of mars is 1.52 au, and its orbital period is about 687 days. what is the value of the constant k?

Which simple machine is not part of this compound machine? a. lever b. pulley c. inclined plane d. wheel and axle

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).

Acar traveling at a constant speed of 22.0 m/s passes a trooper hidden behind a billboard. one second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.50 m/s2. how long does it take the trooper to overtake the speeding car? solve this problem by a graphical method. on the same graph, plot position versus time for the car and the trooper.