Titan, the largest moon of Saturn, has a mean orbital radius of 1.22 × 109 m. The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 1.48 × 109 m. Use Kepler’s third law of planetary motion to predict the orbital period of Hyperion in days
Titan, the largest moon of Saturn, has a mean orbital radius of 1.22 × 109 m....
Neptune has a moon Galatea that orbits at an orbital radius of 6.2×107 m while Neptune’s another moon Nereid has the radius of 5.513×109 m with the period of 360.14 days. Determine Galatea’s orbital period.
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...
The mean orbital radius of the moon is rm = 384 X 106 m, its mean period is 27.3 days . Take G = 6.6726 X 10-11 N . m2. kg-2 To 3 significant figures, what is the mass of the Earth in kilograms calculated from the above quantities?
Mass Radius Orbital Radius Orbital Period Moon A 4.0 x10^20 kg unknown 2.0 x10^8 m 4.0 x10^6 s Moon B 1.5 x10^20 kg 2.0 x10^5 m 3.0 x10^8 m unknown Mithra is an unknown planet that has two airless moons, A and B, in circular orbits around it. The table summarizes the hypothetical data about these moons. If you dropped a laser at the surface of Moon B, at what rate would it accelerate toward the ground? ( G =...
The average radius of the moon has been measured to be 1.74×106m and the value of surface gravity is 1.62m/s2 . 1) Mass of moon? M=____________kg 2) If the earth has a mass of 5.97×1024kg and the moon orbits at an average distance of 3.85×108m , what is the orbital period of the moon about the earth? T=____________days 3) What is the average gravitational force between the Earth and the Moon? F=_______N
QUESTION 16 The Moon which has mass of about 7.35 1022 kilograms, and it orbits the Earth with an average orbital distance of 384,400 kilometers. Calculate the following for the Moon the magnitude of the average gravitational force exerted by the Earth on the Moon: A. Newtons (use scientific notation and round the coefficient to two decimals) the magnitude of the acceleration due to Earth's gravity at Moon's orbit B. m/s (use scientific notation and round the coefficient to two...
1. The moon orbits the earth at a distance of 3.85 times 10^8 m. Assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98 x 10^24 kg. Find the period for the moon's motion around the earth. Express the answer in days. 2. A 0.0296 kg ball is shot from the plunger of a pinball machine. Because of a centripetal force of 0.0485 N, the ball follows...
275 m C-300 m d. 250 m QUESTION 4 You want to make a 1.00 kg mass out of a cylinder of brass. A cube of the brass alloy having a volume of 1.00 cm3 has a mass of 8.64 g. You want the cylinder to be 5.00 cm in diameter. How tall should the cylinder be? a. 6.31 cm 6.5.89 cm 05.12 cm d. 4.37 cm QUESTION 5 The moon Titan orbits Saturn with a period of 15.94 days....
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Useful Planetary Data Mean Radius (m) 243 × 106 6.06 × 10° 6.38 × 10° 3.37 × 106 6.99×107 5.85 × 10' 2.33 × 107 221 × 107 1.14 × 10° 1.74 × 10° 696 × 108 Period (s) 7.60 × 106 1.94 × 107 3.156 × 10, 5.94 × 10' 3.74 × 108 9.35 × 108 2.64 × 109 5.22 × 109 782 × 109 Mean Distance from Sun (m) 579 × 100 1.08...
B.2 This question concerns the possible tidal disruption of a spherical moon on a circular orbit of radius r about a host planet. The planet has mass Mp, radius R and mean density pp; the moon has mass M, radius Rm rand mean density Pm You may ignore any forces beyond the moon-planet system. (i) Show that tidal forces lead to a differential acceleration, between the face of the moon closest to the planet and the moon's centre, of amplitude...