Suppose that Earth rotated much faster on its axis-so fast that people were almost weightless when at Earth's surface. How long would the length of a day be on this new Earth? Assume that rE 6.37×10^6 m is the radius of Earth.

Q: Determine the height habove the surface of a planet of radius R and mass M at which the…

A: The gravitational field will be 60% on its surface, gh=g×60100=35g Then, weight of a mass on the…

Q: Suppose that Earth rotated much faster on its axis-so fast that people were almost weightless when…

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Q: Mars has a Known radius of 3390 Km. Somebody threw a baseball at 990 Km/hr and it orbited the planer…

A: Given, radius = 3390 km  v = 990 km/hr  Circumferential = 2πr = 2×3.14×3390 C = 21289.2 km Time…

Q: The captain of a spaceship orbiting planet X discovers that to remain in orbit at 410 km from the…

A: The orbital speed of satellite orbiting around a planet is given  by  V = (GM/r) 1/2. Where G =…

Q: gravitation with the Earth as  m2  and the radius of the Earth for the distance F =  GmME RE2. Now…

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Q: 11.If Moe exerts a gravitational force of 3.65 x 10 N on Larry, who is standing east of him, what…

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Q: Directions: Use Newton's Universal Gravitation equation to calculate the force of gravity between…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Scientists want to place a 2800 kg satellite in orbit around Mars. They plan to have the satellite…

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Q: g= 6.67 ✕ 10−11 N · m2/kg2. m1= .1 m2= .19 r=.525 Using the formula  F =  Gm1m2 r2 with the value of…

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Q: For an orbiting space station, ideally, the occupants would experience simulated gravity. One way to…

A: When the orbiting space station moves on the circular path with some velocity, then there will the…

Q: Far from any other planet ( S), two masses M, and M, are separated by a distance R, as shown in the…

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Q: ) A communications satellite occupies an orbit such that its period of revolution about the carth is…

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Q: If an imaginary line segment is drawn between the centers of the earth and the moon, then the net…

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Q: Suppose an alien civilization has a space station in circularorbit around its home planet. The…

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Q: Since the Law of Gravity is    if the acceleration of gravity near Earth's surface is 9.8 m/s2,…

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Q: Three stars, each with the mass of our sun, form an equilateral triangle with sides 1.0×1012m long.…

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Q: The gravitational force between two people is found to be 5.9 x 10-11 N. What would the…

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Q: A sateltle orbits at a height of 6,000 km above the earth's surface. REarth = 6.38 x 10° m, mEarth =…

A: Given that, Mass of earth mearth=5.98×1024 Kg Radius of earth Rearth=6.38×106 m Height of the…

Q: Every few months, memes circulate claiming that certain alignments of the planets with the Earth…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A man has a mass of 150 kg.  What does he weigh on earth expressed  in N?   If the gravitation…

A: We are authorized to solve only three sub parts at a time.If you want the solution of all.Submit it…

Q: Three uniform spheres of masses m, = 3.50 kg, m, = 4.00 kg, and m, = 6.50 kg are placed at the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Scientists want to place a 3900 kg satellite in orbit around Mars. They plan to have the satellite…

A: Here radius of the orbit of satellite = radius of Mars +2.1 ×radius of Mars= 3.1 rmars

Q: Suppose a cylindrical habitat in space 7.90 km in diameter and 45.0 km long has been proposed. Such…

A: How fast the cylinder have to rotate to imitate the Earth's gravitational field at the walls of the…

Q: Is the magnitude of earth's gravitational force on the moon larger than, smaller than, or equal t…

A: Introduction: In classical physics, Newton's laws are a milestone in history. Newton's three laws…

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

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Q: Mars has a mass of 6.417*1023 kg, a radius of 3390 km, and a rotation period of 24.62 hours. (a)…

A: Given Data: The mass of Mars is, M=6.417×1023 kg The radius of Mars is, R=3390 km The rotation…

Q: I am on a planet of mass M, the same as Earth, but it is twice the radius. Gravity operates as 1/r²…

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Q: The astronaut with mass 68 Kg went to Planet X. If his weight on planet X is 985N, what is the…

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Q: By Newton's universal law of gravitation the free-fall acceleration a of a body, such as the…

A: By Newton's universal law of gravitation, the free-fall acceleration of a body at a distance r from…

Q: Gravitational force is F = Gm1m2/r². Set G = 1 and m1 = 1, where m2 will be a planet with 1800 times…

A: Given Data : The gravitational constant is given as G = 1 The mass of m1 = 1 The mass of m2 = 1800…

Q: The radius of the Earth is about 6,000 km.  My weight on the surface of the Earth is 1250 N. What…

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Q: Three uniform spheres of masses m1 = 2.50 kg, m2 = 4.00 kg, and m3 = 7.50 kg are placed at the…

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Q: The force of gravity between two masses m1and m2 separated by a distance r is given by Newton's…

A: Given data The force of gravity between the two masses is given as F=Gm1m2r2. The radius of the…

Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 46.4 km/s, and v, =…

A: a) Mass of the star in kg. orbital velocity v=GMR          -eq(1)v1=46400 = GMRalso v1T = 2πRor    R…

Q: What would happen if the mass of earth were to decrease by a factor of 3 but its radius stays the…

A: Given data: New mass of the earth (M') = M/3 New radius (R') = R Required: The change in force of…

Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 46.8 km/s, and v, =…

A: Given: The speed of first planet is v1=46.8 km/s. The speed of second planet is v2=59.6 km/s. The…

Q: Newton’s law of universal gravitation states that the force of gravity between two bodies is…

A: (a) From the law of gravitation, the relation between the force due to gravity and separation is:…

Q: Use Newton's law of universal gravitation to show that the magnitude of the accelera- tion due to…

A: Given variables: Me - mass of earth Re - radius of the earth h - height of the object m - mass of…

Q: What is the ratio of the sun's gravitational force on you to the earth's gravitational force on you?

A: Given  A person is on earth surface .  Let gravitational force on person due to sun is  Fs ....…