A team of astronomers discovers a planet that has a radius of 2.24∗107 m. Based on the motion of nearby objects, they have estimated that the gravity at the surface of the planet is 4.59 ms2. What is the approximate mass of this planet? A) 1.49∗10^24 B) 4.77∗10^25 C) 9.63∗10^21 D) 3.45∗10^25

Q: A 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…

A: Given data:  Radius (r) = 3.04×1014 m Mass of dwarf planet (M1) = 7.79×1022 kg Mass of Sun (M2) =…

Q: During one trial of his experiment, Cavendish measured the force of attraction between a 158 kg…

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Q: A submarine of mass 200 kg is sent into a newly discovered "liquid" planet , i.e. the planet is a…

A: Given:    Mass of submarine M1 = 200 kg    Mass of planet M2 = 8 x 1024 kg    Radius of planet (R)…

Q: A 1500 kg satellite is in orbit around the Moon at a distance of 3 Moon radii above the surface of…

A: Mass of the moon, m1=7.35×1022 kg Mass of the satellite, m2=1500 kg The radius of the Moon,…

Q: The mass of an electron is m=9.11*10^-31 kg. The mass of a proton is m=1.67*10^-27 kg. They are…

A: The expression for the gravitational force between the electron and proton is as follows: F=GmPmer2…

Q: The tiny planet Mercury has a radius of 2.4 x 106 m and a mass of 3.3 x 1023 kg. a) What would be…

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Q: The mass of the Sun is 1.99 × 10^30 kg. Jupiter is 7.79 × 10^8 km away from the Sun and has a mass…

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Q: You are a scientist exploring a mysterious planet. You have performed measurements and know the…

A: Given information:Radius of the planet (R) = dFree fall acceleration of the planet = a“G” is…

Q: The dwarf planet Pluto has a radius of 1.15 x 10^6 m and a mass of 1.2x10^22 kg . What is the value…

A: Given data: Radius of Pluto (r) = 1.15x106 m Mass of Pluto (m) = 1.2x1022 kg Need to determine the…

Q: Newton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the…

A: From Newton’s version of Kepler’s third law

Q: The radius of the earth is 3960 miles. If the gravitational acceleration of the earth surface is…

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Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Consider a satellite having mass m orbiting around a planet in radius R with speed v and the…

Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…

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Q: A moon is orbiting its planet in UCM. If the planet has a mass of 2.6 x 1026kg and the moon is…

A: Given data: The moon have uniform circular motion  Mass of planet (M) = 2.6×1026 kg Speed (v) =…

Q: You are a scientist exploring a mysterious planet. You have performed measurements and know the…

A: let the mass of the planet be m and that of the star is M,the weight of an object at the surface of…

Q: A martian (of mass 200 kg) is located 300 km above the surface of Mars. What is the magnitude of the…

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Q: Planet X has a radius of 6.00×10^7 m and an unknown mass. When a woman of mass 65.0 kg weighs…

A: Given data: The radius of planet is r=6.00x107 m. The mass of woman is m=65 kg. The distance from…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data: Speed of the satellite, v=1.1×104 m/s Mass of the planet, M=6.04×1024 kg Mass of the…

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

A: Given data: Orbital period of moon, T=27.32 days Orbital radius, r=384400 km our question is to…

Q: An astronaut lands on a new, recently discovered planet in a different star system. The astronaut…

A: Given, Mass of planet,M=7.5×1023kg Acceleration due to gravity,g=12 m/s2

Q: Newton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the…

A: Given data: The value of gravitational constant G is 6.67×10-11 m3/kg.s2 The average distance is…

Q: Exoplanet Taphao Keow is a Jupiter-sized planet orbiting another star. It has a mass of…

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Q: 29. Consider Planet X whose mass and radius are 9.05 × 1025 [kg] and 5.95 x 104 [m], respectively.…

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Q: A newly discovered planet X has a mass of 36.7 × 1023 kg and radius 2.47 × 106 m.  What is g on this…

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Q: Two lead spheres are separated by 0.207 m, centre-to-centre. One sphere has a mass of 5.53 kg. The…

A: Given data:  Distance between spheres (r) = 0.207 m Mass of one sphere (m1) = 5.53 kg Gravitational…

Q: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…

A: 1. The force of attraction between Mars and the satellite is…

Q: Scientists determine the masses of planets by observing the effect of the gravitational field of…

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Q: The surface of the planet Mars has a gravitational acceleration of 3.711 ms2. If the mass of Mars is…

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Q: The International Space Station (ISS) completes one orbit of Earth in 92 minutes.  What is the…

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Q: .) Which of the following quantities would change the speed the satellite needs to orbit at? a.)the…

A: Orbital velocity  V0=GM/r             r= R+H     M= Mass of Mars GIVEN mmars = 6.4191 x 1023 kgrmars…

Q: Saturn's moon Titan has a radius of 2.58 × 10 6 m and a measured gravitational field of 1.35 m/s2.…

A: The expression for gravitational field is g=GMr2 Rearrange in terms of mass M=gr2G

Q: The mean diameters of Mars and Earth are 6.9×10^3km and1.3×10^4km, respectively. The mass of Mars is…

A: (a) Density of mars ρM=MMV=MM4πRM33=3MM4πRM3 Density of Earth ρE=MEV=ME4πRE33=3ME4πRE3

Q: What is the gravitational acceleration on the surface of the Sun? The mass of the Sun is…

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Q: You are trapped on an earth-like planet with a mass of 5.00×1024 kg and a radius of 4000 km. You…

A: The planet's mass is, m=5×1024 kg The planet's radius is, r=4000 km=4000×103 m