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7.42∗10^9 s
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34,200 s
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86,200 s
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8.19∗10^6 s
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Given:
A satellite orbiting the earth.
Orbital radius is
Mass of earth is
Note:
Find:
Orbital period of satellite.
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- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
- The masses of the Moon and Earth are 7.4 ✕ 1022 kg and 6 ✕ 1024 kg, respectively. The Earth-Moon distance is 3.8 ✕ 108 m. What is the size of the gravitational force between the Earth and the Moon?A moon is orbiting its planet in UCM. If the planet has a mass of 2.6 x 1026kg and the moon is orbiting the planet at 6.69 x 10³m/s, then what is the radius of the moon's orbit? r = unitAn Earth satellite has an orbital period of 5.3 h. What is its orbital radius? (ME = 5.98 x 1024 kg)
- A space agency sent a satellite to a nearby planet to take photographs over a period of several years. The satellite orbits the planet once every 6 hours and 10 minutes. If the satellite is orbiting at a radius of 9.44∗10^7 m, what is the mass of the planet? 4.34∗10^26 kg 8.22∗10^29 kg 1.01∗10^27 kg 7.04∗10^26 kgA dwarf planet orbits the Sun at a radius of 3.04*10^14 m. It has a mass of 7.79*10^22 kg. What is the gravitational force between this body and the sun as it orbits? The sun has a mass of 1.99 x 1030 kg and Newton's Universal Gravity constant is 6.67 x 10-11 N m2 / kg2. Express your answer in newtonsA satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. F = Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. ac = Express the speed v in terms of G, M and R. v = Calculate the numerical value of v, in m/s. v =
- One of Saturn's moons is named Mimas. The mean orbital distance of Mimas is 1.87 x 108 m. The mean orbital period of Mimas is approximately 23 hours (8.28x104 s). Use this information to estimate a mass for the planet Saturn.Find the magnitude of the gravitational force (in N) between a planet with mass 6.75 * 10 ^ 24 * kg and its moon, with mass 2.55 * 10 ^ 22 * kg if the average distance between 2.60 * 10 ^8 m. What is the moon's acceleration (in m /s ^ 2) toward the planet? What is the planet's acceleration (in m/s^ 2 ) toward the moon?The International Space Station (ISS) completes one orbit of Earth in 92 minutes. What is the radius of the orbit in kilometers (km)? You may assume the orbit is circular. The mass of the ISS is 420 kg, and the mass of the Earth is 6.0×10246.0×1024kg. Newton’s gravitational constant is 6.7×10−11N⋅m2kg26.7×10−11kg2N⋅m2.
