A moon of Uranus takes 13.5 days to orbit at a distance of 5.8 ✕ 105 km from the center of the planet. What is the total mass (in kg) of Uranus plus the moon?
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A moon of Uranus takes 13.5 days to orbit at a distance of 5.8 ✕ 105 km from the center of the planet. What is the total mass (in kg) of Uranus plus the moon?
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- Consider a spherical shell constructed from a material of density 6.1 x 103 kg/m3. The inner radius of the shell is 4.9 x 106 m from the center, and the outer radius of the shell is 9.2 x 106 m from the center. Calculate the magnitude of the gravitational field 13.1 x 106 m from the center of the shell, in N/kg. Use G = 6.7 x 10-11 N m2 / kg2. (Please answer to the fourth decimal place - i.e 14.3225)Assume the earth's mass is 80.004 x 1025 kg, and radius is 35.532 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 sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the sphere are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 nM. What is the mass of the unknown metal?
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- (a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)Jupiter has lots of moons in orbit around it. One of those moons, Io, was first observed by Galileo (using an early telescope). Io has an average orbital radius about Jupiter of about 4.2 x 108 m and an orbital period of about 1.8 days. Using this data, calculate Jupiter’s mass.Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).