Two identical point masses, each of mass M, always remain separated by a distance of 2R. A third mass m is placed a distance x along the perpendicular bisector of the two original masses. Show that the gravitational force on the third mass (m) is directed inward along the perpendicular bisector and has a magnitude of

4. if you were an astronaut on the moon, what would you experience? what would you see from your perspective?

The protons in a nucleus are approximately 2 ✕ 10^−15 m apart. consider the case where the protons are a distance d = 1.93 ✕ 10^−15 m apart. calculate the magnitude of the electric force (in n) between two protons at this distance.

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).