In: Physics
The mass of Uranus is 8.68 x 1025 kg. That’s 14.536 times more than the mass of Earth.
What is the difference between the forces due to Uranus on a 1.0 kg mass located at the near side of Titania and at the far side of Titania? Titania has a mean radius of 789 km and a mean orbital radius about Uranus of 436,300 km. (Enter the magnitude in newtons.)
Compare this difference to the difference for Earth due to the Moon, 0.22 ✕ 10−5 N. (Tidal forces are the cause of volcanic activity on some moons.)
Calculate the mass (in kg) of the Sun based on data for Uranus's orbit. (Use G = 6.67 ✕ 10−11 N · m2/kg2 in your calculations. Round your answer to at least four significant figures.)
Compare the above calculated value with the Sun's actual mass. (Round your answer to at least three decimal places.)