Q: Which scientist is credited with the collection of data necessary to support the planet's elliptical…
A: The astronomer Tycho Brahe made a series of observations regarding the motion of planets. Kepler,…
Q: How do you calculate the mass of a planet in space?
A: Let M be the mass of the planet, R be the distance of the planet from the reference frame, T be the…
Q: What is Kepler's first law of planetary motion? The period of a planet's orbit is proportional to…
A:
Q: Kepler’s First Law states that planetary orbits are ellipses with thesun at one focus. The orbit of…
A: The relation is perihelion = a (1 - e) aphelion = a ( 1+e)
Q: Calculate the force of Earth’s gravity on a 1 kg mass at Earth’s surface. the mass of Earth is…
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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: Match Kepler Laws with the correct description. * Kepler's First Law Kepler's Second Law…
A: Given:-matching statements of keplers law
Q: What did Kepler discover about the periods of planets and their distances from the Sun? Was this…
A: According to Kepler the planet orbits the sun along a ellipse path. Ellipse contain 2 foci and it…
Q: Show that a planet in a circular orbit moves with a constant speed. (Hint: This is a consequence of…
A: Kepler’s first law: According to the Kepler’s first law, every planet moves in an ellipse such that…
Q: How will you deduce Kepler's third law from Newton's law of gravitation.
A: Centripetal force on planet is balanced by the gravitational force of attraction between the sun and…
Q: Two celestial bodies are in orbit. If one celestial body is 3x the mass of the other, that means it…
A: Given that: One celestial body is 3x the mass of the other
Q: How did Newton come up with the idea that the moon is actually "falling" toward the Earth.
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Q: What is the weight of a person on a planet with a mass of 8.0x10^24 and a radius of 5.5x10^6.
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Q: Which of the following is NOT one of Kepler's Laws of Planetary Motion? A. The square of a planet's…
A: According to Kepler's first law, Planetary orbits are elliptical with sun as a focus. So, option D…
Q: How is Kepler's law different from Newton's law of motion
A: Newton’s law describe every motion you will ever experience. You can use them to calculate anything…
Q: A surveying satellite is moving around a planet in a circular motion (approximately). If the…
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Q: GPS (Global Positioning System) satellites orbit at an altitude of 2.1x 10^7 m. Find the orbital…
A: Given data: Altitude, d =2.1×107 m
Q: Newton showed that the periods and distances in Kepler’s third law depend on the masses of the…
A: We know that Kepler's 3rd Law: The square of the period(T) of a planet's orbit is proportional to…
Q: The sun has a mass of 1.99x10^30 kg and a radius of 6.955x10^8 m. What would be the weight of a 76.5…
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Q: The radius of a planet is three times that of Earth and its mass is nine times that of Earth. The…
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Q: Rank the average gravitational forces from greatest to the least between (a) Sun and Mars (b) Sun…
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Q: The first proof that the Earth orbits the Sun was provided by A) Tycho's observations…
A: The first proof that the Earth orbits the Sun was provided by Galileo's observation of the phases of…
Q: Calculate the period T of a planet whose orbit has a semimajor axis of 33AU
A: The expression for the required time period is,
Q: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to…
A: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to…
Q: What would be the period of an object orbiting the sun with a semimajor axis of 15AU?
A: Given Data The length of the semimajor axis is r = 15 AU According to the third equation for…
Q: the international space station has an orbital period of 93 minutes at an altitude (above Earth's…
A: According to Kepler's 3rd Law, the ratio of the squares of the periods (T) of any two planets is…
Q: Use the Law of Gravitation with Kepler's third Law to determine the mass of the Sun. Don't forget to…
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Q: What were the contributions of Galileo in proving the validity of the heliocentric model?
A: Ptolemy model said that the earth is at centre and other objects revolve around it. To oppose this,…
Q: Assuming that Earth's orbit around the Sun is a circle of radius 150 million kilometres, and taking…
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Q: ____________________motion is a motion of an object near the Earth's surface in an arc or parabolic…
A: Given:-motion of an object near the Earth's surface in an arc or parabolic trajectory under the…
Q: Find the force of gravity between Earth and the Sun (Sun's mass = 2.0×10302.0×10^30 kg; average…
A: Mass of earth (M) = 6×1024 kg Mass of Sun (m) = 2×1030 kg Distance between the sun and earth (d) =…
Q: Two spheres of masses 100 kg and 900 kg each of radius 10 m and 20 m respectively. Find…
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Q: Kepler's 2nd Law deals with ___. * a. the shape of the planets' orbits b. the speed/area the…
A: Kepler's second law say that radius vector from the sun to any planet sweeps equal area in equal…
Q: In terms of Kepler’s 2nd law, what is the significance of these areas?
A: Introduction: Kepler's planetary laws are the pillars of the classical mechanics. Correct…
Q: How important was Tycho Brahe's work in the development of Kepler's law of planetary motion?
A: How important was Tycho Brahe's work in the development of Kepler's law of planetary motion?
Q: According to Newton's Law of Universal Gravitation, the gravitational attractio between two objects…
A: "Since you have asked multiple questions, as per instructions to us, we will solve the first…
Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…
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Q: Which of the following are, or follow directly from, Kepler's Laws of planetary motion? Check all…
A: Required : Which of the statements follow directly from, Kepler's Laws of planetary motion.
Q: The mass of Earth is 5.972 × 1024 kg and it orbits the Sun at an average distance of 1.496 × 1011 m.
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Q: Kepler's third law of planetary motion describes a relationship between... the distance from the Sun…
A: Solution: Kepler's first law of planetary motion describes the shape of the orbit of every planet…
Q: Use Newton's law of universal gravitation to determine the force of gravitational attraction between…
A: The expression for the gravitational force of attraction is,
Q: According to Kepler's second law, what quantity is swept out in an equal interval of time during a…
A: Required : Which quantity is swept out in an equal interval of time.
Q: Descartes and Snell worked around the time of Kepler and Galileo. True False
A: The given statement is True.
With the help of Kepler's law prove that the motion of a planet around the sun takes place in a plane.
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- A planet of mass 5.8 x 1024 kg orbits a star of mass 1.6 x 1030 kg in a circular orbit 10 x 1011 m from its center. Calculate the period of the orbit, in Earth years. Use G = 6.7 x 10-11 N m2/ kg2 and that one Earth year is 3.15 x 107 s. (Please answer to the fourth decimal place - i.e 14.3225)According to Lunar Laser Ranging experiment the average distance Lm from the Earth to the Moon is approximately 3.97 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate the orbital velocity of the Moon in m/s.Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weighs 943.0 NN on the earth weighs 920.0 NN at the north pole of Planet X and only 860.0 NN at its equator. The distance from the north pole to the equator is 18,850 kmkm, measured along the surface of Planet X. How long is the day on Planet X? Express your answer in hours. If a 45,000 kgkg satellite is placed in a circular orbit 3000 kmkm above the surface of Planet X, what will be its orbital period? Express your answer in seconds.
- According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.92 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate the orbital velocity of the Moon in m/s. Answer: Choose...At an altitude of 160 km above the earth's surface, a 3-kg mass is pushed vertically upward with a velocity of 16,000 km/h. Using the radius of the earth equal to 6357 km, calculate the maximum distance from the earth's surface reached by the mass. Present your answer in km using 4 significant figures.The radius of the Earth R_{E} = 6.378 * 10 ^ 6 m and the acceleration due to gravity at its surface is 9.81m / (s ^ 2) Calculate the altitude above the surface of earth in meters , at which the acceleration due to gravity is g= 1.2 m/s^2
- On the surface of the Moon an astronaut has a weight of Fg = 190 N. The radius of the Moon is Rm = 1.74 × 106 m, the gravitational constant is G = 6.67 × 10-11 N (m/kg)2 and the mass of the Moon is Mm = 7.35 × 1022 kg. Calculate the mass of the astronaut, m, in kilograms.Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weights 943.0N on the earth weights 915.0N at the north pole of Planet X and 850.0N at its equator. The distance from the north pole to the equator is 18,850 km., measured along the surface of Planet X. (a) How long is the day on Planet X? (b) if a 45, 000kg satellite is placed in a circular orbit 2000km above the surface of Planet X, what will be its orbital period.Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion. Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg m1=10^12kg m2=10^11kg L=10^8m 7,27210E+00 m1 3,85280E+00 m2 6,16500E+00 L
- Mars has an orbital radius of 1.523 AU and an orbital period of 687.0 days. What is its average speed v in SI units? (1 AU is the astronomical unit, the mean distance between the Sun and the Earth, which is 1.496×1011 m) a. 0.00221 AU/day b. 3838 m/s c. 0 d. 1.28×10−9 m/sNewton’s law of gravitation and the formula for centripetal acceleration can be used to show that: T^2=(4π^2/Gms)R^3 where G is the universal constant of gravitation and MS is the mass of the Sun. Take logarithms to base 10 of both sides of the equation to complete the expression for 2 lg T.2 lg T = ……………… × lg R + ……………………Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. A astronaut who weighs 943.0 N on the earth weighs 915.0 N at the north pole of Planet X and only 850.0 N at its equator. The distance from the north pole to the equator is 18,850 km, measured along the surface of Planet X. (a) How long is the day on Planet X? (b) If a 45,000 kg satellite is placed in a circular orbit 2000 km above the surface of Planet X, what will be its orbital period?