the international space station has an orbital period of 93 minutes at an altitude (above Earth's surface) of 410 km. A geosynchronous satellite has an orbital period of 24 hours. The radius of Earth is 6400 km. Use Kepler's 3rd Law to compare these two and find the orbital altitude of the geosynchronous satellite.

Q: Satellite #1 and Satellite #2 are both in circular orbits around the Earth. The radius of Satellite…

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Q: An astronaut is standing on the moon. If the gravitational force exerted by the Moon on the…

A: Solution:-

Q: A planet is about 7.79 x 108 km (orbital radius) from the sun. It takes 1,425 days for the planet to…

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Q: Assume the earth's mass is 0.568 x 1025 kg, and radius is 54.595 x 103 miles, what would be the…

A: Mass of earth (m) = 0.568×1025 kg Radius of the earth (R) = 54595 miles Using conversion factor : 1…

Q: Which unit of measurement is larger?

A: 1 rad = 57.3 degree. So for 1 rad we required 57.3 degree.  So 1 degree = (1/57.3) < 1 rad

Q: One 'day' on Planet X equals 16 Earth hours.A geostationary communications satellite orbits Planet X…

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Q: What is the mass of the sun if the radius is 7.6*10^8 and the gravitational acceleration is 261?…

A: Apply g = GM/r2

Q: Two objects feel a gravitational force of 948 N when separated by a distance of 7x106.46 meters.…

A: Given Data: Gravitational force Fg=948 N Distance r=7×106.46 m Mass of the first object m1=2.63×1024…

Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Earth= 5.972 ⨉ 10 24kg and the sidereal period of the Earth is…

A: Given : Mass of Earth: 5.972×1024 kg G=6.674×10-11 m3/kg/s Period T=27.32 days

Q: Earth has an orbital period of 365 days and its mean distance from the sun is 1.495×108 km. The…

A: Given: The orbital period of the earth is 365 days. The mean distance of the earth from the sun is…

Q: Many people mistakenly believe that the astronauts who orbit Earth are "above gravity." Earth's mass…

A: Given data: The mass of the earth is m=6×1024 kg The radius is r=6.38×106 m

Q: On the surface of the Moon an astronaut has a weight of Fg = 190 N. The radius of the Moon is Rm =…

A:

Q: The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the Earth's…

A: Given, The semimajor axis of Mars orbit is about 1.52 astronomical units (au), where an au is the…

Q: A comet (see the figure below) approaches the Sun to within 0.570 AU, and its orbital period is 79.6…

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Q: As an aspiring science fiction author, you are writing about a space-faring race and their home…

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Q: Two 700-kg masses (1543 lb) are separated by a distance of 76 m. Using Newton's law of gravitation,…

A: Now

Q: Which of Kepler's law can be used to estimate the mass of a distant star system based on the period…

A: Please see the answer in step 2.

Q: The radius of the Earth's orbit is 1.50  1011 m and that of Mars is 2.28  1011 m. The star that this…

A: The expression for the orbital period,

Q: A calculator is set on top of a book and the book is then pushed so that it slowly accelerates…

A: Given  person is pushing the book without touching the  calculator and book is accelerating with…

Q: Suppose a satellite (not the Moon) orbits Earth exactly every 30 days. Find its distance from Earth…

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Q: Jupiter's third-largest natural satellite, Io, follows an orbit with a semimajor axis of 422,000 km…

A: Semi major axis of Io's orbit, a = 4.22 x 105 km Orbital period of Io's orbit, P = 1.77 earth days 1…

Q: To model a moon in the solar system, consider a sphere with radius R and uniform mass density p. Let…

A: Mass density of moon is 2.7 × 103 kg/m3 R= 2.0×106 m. We know that gravitational constant G= 6.67 ×…

Q: A satellite is held in orbit that is 310 km above the surface of the Earth by a gravitational force…

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Q: In this problem, we will directly calculate the surface gravity and your weight on another planet.…

A: (a) The formula to calculate the surface gravity of the planet is  gv=GMvrv where gv is the surface…

Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…

A: Given Time period of UCF1.01 is T1=4.8 days And Time period of UCF1.02 is T2=5.2 days Average…

Q: What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a)…

A: Given  Mass of earth = Me = 5.98*10²⁴ kg Mass of moon = Mm = 7.36*10²² kg Mass of Jupiter = Mj =…

Q: to two decimal places): (what is ‘h’?)​Eccentricity of earth orbit is 0.0167​µ(sun) = 1.32712E+11…

A: a) To calculate the speed of the Earth around the sun at aphelion, we need to use the equation for…

Q: Use Kepler's 3rd law to find the orbital periods (assume circular orbits) for the inner planets…

A: Kepler's third law, also known as the law of harmonies, relates the orbital period (T) of a planet…

Q: Find the ratio of the mass of Jupiter to that of Earth based on data in Table .

A: This equation is true for any satellite and its planet system and in that case’ M ‘ is the mass of…

Q: Mars orbits the Sun at an average distance of 2.28 x 10 km with an orbital period of 1.881 yr. The…

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Q: Observations and trigonometry can be used to determine that Earth's moon has an orbital period of…

A: The orbital period of the moon is Orbital radius is Note:Value of the gravitational constant is…

Q: The planet Pluto has an equatorial diameter of 1,188.3 km and its mass is 1.30900 * 1022 kilograms.…

A:

Q: A man is standing on the moon. His mass is 100 kg. The mass of the moon is 7x10^22 kg. The radius is…

A: Given that  Mass of the moon is  m1=7×1022 Kg Mass of the man is  m2=100 Kg Radius of moon is…

Q: The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of…

A: According to Kepler's first law , every planet revolves around sun in an elliptical orbit with sun…

Q: The planet Saturn orbits the Sun at an average distance of 888 million miles. Use  Kepler’s 3rd law…

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