The average orbital distance of Mars is 1.52 times the average orbital distance of the Earth. Knowing that the Earth orbits the sun in approximately 365 days, use Kepler's law of harmonies to predict the time for Mars to orbit the sun.

Q: Estimate the length of the major axis of Earth’s orbit if its orbital period is 365.256 days.

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Q: Kepler's third law of planetary motion describes the relationship between the of a planet's orbit…

A: Kepler's third law defines the relationship between the planet's orbit and it's time period.

Q: What is Kepler's first law of planetary motion? The period of a planet's orbit is proportional to…

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Q: The mass of earth is 6*10^24 kg and its radius is 6.4*10^6 m. Use newton's theory of gravity to find…

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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: What does Kepler's third law predict for the period of Mars' orbit around the Sun? Give your answer…

A: Given: G=6.67×10-11Nm2/kg2 Mmars=6.4×1023kg Mearth=5.97×1024kg Msun=2.00×1030kg Distance from sun to…

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: Calculate the magnitude of the gravitational force in Newtons between an object of mass (5.87x10^3)…

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Q: What is the approximate percentage difference in diameter from Earth to Mars? a. 0.87% b. 1.05%…

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Q: 44. Hours in a Martian Day Mars rotates on its axis at the rate of about 0.2552 radian per hr.…

A: The rotation period of Mars is, T=2πω Here, T  represents the rotation period or martian day in…

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: According to Kepler's second law of planetary motion, (a) the line joining the centers of a planet's…

A: Kepler gave 3 laws regarding Planetary motions. These laws are known as Kepler's Laws. The Law of…

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: The average radius of Mars is 3,397 km. If Mars completes one rotation in 24.6 hours, what is the…

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Q: How many degrees of freedom does Venus orbiting the sun have assuming that its eccentricity is close…

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

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Q: Many people mistakenly believe that the astronauts that orbit Earth are "above gravity". Calculate g…

A: Given data The mass of the earth is M=6.0×1024 kg The earth radius is R=6.38×106 m The universal…

Q: Use Kepler’s second law to convince yourself that Earth must move faster in its orbit during the…

A: Kepler's Second law says that planets around the sun sweep equal areas in equal time period i.e…

Q: In the heliocentric model of the solar system, one planet passing another in its orbit gives rise to…

A: In heliocentric model, it is assumed that sun is the center of the solar system and all the planets…

Q: For an object with a given mass on Earth, calculate the weight of the object with the mass equal in…

A: The mass of the object, m=14 kg   The acceleration due to gravity, g=9.8 m/s2

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

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Q: The moon has a period of 27.3 days and a mean distance of 3.9 x 10 ^5 km from the center of the…

A: Given : Time period of moon, Tm = 27.3 days Distance of moon from Earth, Rm = 3.9 ×105 Km Distance…

Q: Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the…

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Q: for this problem the average distance of the earth from the sun is about 1.5×10^8km

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Q: Mars is 1.53 times as far from the sun as earth is. Use keplers third law to predict the time…

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Q: What are the speed and altitude of a geosynchronous satellite orbiting Mars? Mars rotates on its…

A: Given data The mass of the mars is given as Mm = 6.42 x 1023 kg. The time of rotation is given as T…

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: Mars rotates on its axis once every 1.02 days (almost the same as Earth does). (a) Find the…

A: Given: Time (T) = 1.02 days. = 88128 sec. Mass of mars (m) = 6.42×1023 kg.

Q: Compute the mass of Mars, assuming it to be a sphere of radius 3,389.5 km

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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: Determine the gravitational force of attraction between the Earth and Jupiter given the mass of the…

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Q: The Earth has a mass of 5.97 * 1024 kg and the Moon has a mass of 7.35 * 1022 kg. If they are…

A: Write the expression for the gravitational force.

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: If a rock falls from a height of 33 meters on Earth, the height H (in meters) after x seconds is…

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Q: Must engineers take Earth’s rotation into account when constructing very tall buildings at any…

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Q: The radius of Earth is 6.371 × 103 km. a. Find the altitude above Earth’s surface where Earth’s…

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Q: Suppose the Earth is a sphere of radius 6370 km. If a person stood on a scale at the north pole and…

A: solution is given as

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: A synchronous orbit is an orbit about a planet's equator that always remains above the same spot of…

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Q: The value of "g" at the surface of Mars is 3.7 N/kg. How much would a 60.0-kg person weigh at an…

A: Acceleration due to gravity on Mars , g = 3.7 N/kg mass , m = 60 kg To find = Weight of the person…

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…

Q: According to Lunar Laser Ranging experiments the average distance LM from the Earth to the Moon is…

A: The radius of the orbit of the Moon around the Earth is LM.

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 nautical mile was originally defined as the distance on the earth's surface (latitude)…

A: Given:) radius of earth (r)=6371 km=3958.77 mi angle subtended by 1 nautical mile =1…

Q: The moon has a mass of 7.34 x 1022 kg and a radius of 1.74x106 m. If you have a mass of 66 kg, how…

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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…