Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.67 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.07×10^30 kg . Find the radius of the exoplanet's orbit.

Q: The international space station is orbiting at an altitude of about 370km above the earth's surface.…

A: Given: Altitude h : 370 km Mass of Earth ME : 5.976×1024 kg Radius of Earth RE : 6.378 ×106 m

Q: The International Space Station is in a 260-mile-high orbit. What is the station's orbital speed?…

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Q: A planet of mass m=3.05×10^24 kg orbits a star of mass M=3.85×1029 kg in a circular path. The radius…

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

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: orbit, measured from the center of the planet is R = 2.2 x 10' m. The mass of the planet is M = 6.4…

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Q: A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly  circular…

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Q: A planet has a mass of 5.98 x 10²4 kg. It has an average orbital speed of 2.978 x 104 m/s as it…

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Q: The star Rho1 Cancri is 57 light-years from the earth and has a mass 0.85 times that of our sun. A…

A: To figure out the orbital speed in part-a, we'll start on part-b first to get the period. Once the…

Q: Neptune orbits the Sun with an orbital radius of 4.495 x 10^12 m. If the earth to sun distance 1…

A: Given data as per question Neptune orbital radius =  4.495 ×1012m 1AU  =  1.5×1011m

Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

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Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011…

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Q: A 1.07 kg mass is at the center of a uniform spherical shell of mass 1.06 * 10 ^ 20 * kg and radius…

A: See below

Q: A typical neutron star may have a mass equal to that of the Sun (m = 1.99x1030kg) but a radius of…

A: Given: The mass of sun is m=1.99 x1030 kg. The radius is R=10 km. The distance of object on star is…

Q: Part (a) Express the magnitude of the gravitational force F in terms of M, R, the gravitational…

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Q: Astronomers discover an exoplanet that has an oribital period of 3.77 Earth years in its circular…

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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: Newton's theory of gravity, together with the Cavendish experiment to measure the value of Newton's…

A: mass = M = 1.989 X 1030 Kg radius = R = 6.96 X 108 m

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: A meteoroid is traveling with a velocity of 10.0 km/s directly toward the Earth when it is located 5…

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

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: A 3000-kg satellite orbits the Earth in a circular orbit 11797 km above the Earth's surface (Earth…

A: The gravitational force between two masses m1, and m2 seperated by a distance r is given…

Q: Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period…

A: Using Kepler’s third law T2=4π2r3GMr=T2GM4π21/3

Q: Problem 6: Two satellites are in circular orbits around a planet that has radius 9 x 106 m. One…

A: Q6.  Since both satellites are orbiting around same planet, So  Using force balance on satellites:…

Q: A satellite is placed in orbit 6.00×10^5 m above the surface of the planet Jupiter. Jupiter has a…

A: mass, M = 1.9 x 1027 kg  radius, R = 7.14 x 107 m  height, h = 6 x 105 m

Q: The International Space Station is in a 210-mile-high orbit. What is the station's orbital speed?…

A: When a body revolves around a heavier object in an orbit then it experiences a gravitational force…

Q: A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a…

A: Given: Mass of the copper sphere, m1 = 4690 kg. Mass of the unknown metal = m2 kg. Radius of copper…

Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

A: The orbital period of a planet is, The planet’s mass is,

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

A:

Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

A:

Q: moon of Saturn takes 0.94 days to orbit at a distance of 1.9 ✕ 105 km from the center of the planet.…

A: Given: The period of the moon is 0.94 days. The distance of the moon from Saturn is 1.9x105 km.

Q: A typical neutron star may have a mass equal to that of the Sun (m =1.99x10 30 kg) but a radius of…

A: a) Let the radius of the star be R and the mass of the star be m. In this case, R = 10×103 m m =…