Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21. Wfirst21 has a mass of 1.45×1025 kg and a day that lasts 24.1 h (which defines the rotational period of the planet). The colony is located on the planet's equator. The colonists set up a communications satellite which orbits Wfirst21. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius

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A: Lagrange points are positions in space where objects sent there tend to stay put. At Lagrange…

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A: Height of Mars orbiter above the Martial surface: h = 35000 m Mass of Mars: Mm = 6.42 x 1023 kg…

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A: R=1.8×107 mM=4.8×1024 kg From the conservation of energy, 12mv2=GMm2R, here G is gravitational…

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A: The expression to determine the orbital period of the planet is, T2=4π2MGR3

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A: Solution:   a) A geosynchronous orbit radius is calculated as follows:   We know that,   Orbital…

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

Q: Scientists have discovered a distant planet with a mass of 7.8x1023 kg. The planet has a small moon…

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Q: A newly discovered planet, Physicstopia, has a mass of 6 x 1023 radius of 5.5 x 106 m. How much…

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A: The expression for the required gravitational potential energy,

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A: Mass of the planet, M = 6 X 1023 kg Time period of moon of planet, T = 5 hours 40 minutes = 340…

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A:

Q: A planet has a mass of 4.0 × 1024 kg and a radius of R = 5.0 × 106 m. A cannon on the planet's…

A: Given that a planet has a mass of 4.0 × 1024 kg  radius = R = 5.0 × 106 m Let V be the speed at  the…

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A: Given quantities Gravitational acceleration = 8.20m/s^2 Time period = 2.60h mass of satellite = 33kg…

Q: A rocket is launched off the surface of earth. If it has a speed of 2.62×103 m/s, what height above…

A: Consider the mass of the Earth be M, the rocket’s mass be m, the distance of the rocket, that is the…

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A: Given: Mass of planet is 5.97 x 1024 kg. Mass of star is 1.99 x 1030 kg. Distance during perihelion…

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Q: the velocity and orbital period of the spacecraft?

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Q: Jupiter revolves around Sun in a circular orbit with a radius of 7.78 x 10^11 m. It takes 11.86…

A: Given data Radius of circular orbit is a=7.78×1011  m Time period is T=11.86 years =3.74×108  s Find…

Q: The masses and coordinates of three spheres are as follows: 24 kg, x = 2.1 m, y = 0 m; 54 kg, x =…

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

Q: Imagine yourself as an astronaut in a circular orbit around the Earth. Let's say you and your suit…

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A: Given :             Distance d = 280000             Time t = 10 hours

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A: We will use conservation of mechanical energy to solve this.

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Given that,Radius r1 of orbit for planet m1=1×1011 mRadius r2 of orbit for planet m2=1.8×1011 mTime…

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Q: A 1000 kg satellite orbits the Earth at a distance of 4 times the Earth's radius measured from above…

A: The radius of the satellite's orbit is given as, r=REarth+4REarth=5REarth Here, r is the radius of…