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- 5) These moons are known as the Galilean moons. (Since that time, 75 additional Jovian moons have been discovered.) The innermost Galilean moon, Io, takes 1.769 days to complete one orbit. The largest Galilean moon, Ganymede, orbits at a distance of 1.07 x 106 km and takes four times as long as Io to orbit Jupiter. (Both orbits can be modeled as circles.) In late 1609 and early 1610, Galileo Galilei discovered four moons orbiting Jupiter. a) What is the radius of Io's orbit? b) How fast is Io moving in its orbit? c) If Jupiter were to somehow collapse into a black hole, what would its Schwarzschild radius be?A certain planet has a radius of 4990 km. If, on the surface of that planet, a 95.0 kg object has a weight of 591 N, then what is the mass of the planet?Assume the earth's mass is 85.47 x 1025 kg, and radius is 51.93 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.
- A synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Neptune so that scientists can study a surface feature. Neptune rotates once every 16.1 h. Use the data of this table to find the altitude of the satellite. kmPlease answer question 2 parts a, d, and eGalileo is often credited with the early discovery of four of Jupiter's many moons. The moons orbiting Jupiter follow the same laws of motion as the planets orbiting the sun. One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days. Another moon is called Ganymede; it is 10.7 units from Jupiter's center. Make a prediction of the period of Ganymede using Kepler's law of harmonies.
- a) Sketch the earth and mars, showing the center of the planets being separated by a distance d = 3 x 10^11 m. b). Use Newton's Universal Gravitation equation to determine the gravitational force of attraction between earth and mars at that distance given G= 6.7 x 10^-11 N x m^2/kg^2, mass of earth = 6 x 10^24 kg, mass of mars = 6.4 x 10^23 kgThe planet Pluto has an equatorial diameter of 1,188.3 km and its mass is 1.30900 * 1022 kilograms. If the planet is modeled as a homogeneous sphere, what is the acceleration due to gravity at its surface? (The universal gravitational constant is G = 6.67 x 10-11 N-m²/kg?.) Answer in 3 decimals and in m/s2Chapter 21 and 22, Problem 2
- Venus-orbiting geosynchronous satellite. Venus rotates every 117 days. How far above Venus's surface must the satellite orbit in km?The mean distance of an asteroid from the Sun is 1.74 times that of Earth from the Sun. From Kepler's law of periods, calculate the number of years required for the asteroid to make one revolution around the Sun.Galileo is often credited with the early discovery of four of Jupiters many moons.The moons orbiting Jupiter follow te same laws of motion as the planets orbiting the sun.One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days.Another moon is caled Ganymede;it is 10.7 units from Jupiters center. Make a prediction of the period of Ganymede using Keplers law of periods.