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: A satellite is orbiting around a planet with a mass of 6.0 x 1024kg and a radius of 6.0 x 106m.  If…

A: Let G, M, m, r, and v denote the gravitational constant, planet’s mass, satellite’s mass, orbital…

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: A small moon of a giant planet has an orbital period of 1.25 days and an orbital radius of 4.92 x…

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

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Q: We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the…

A: d = 5.5 *107m T = 3.5 * 105 sec using formula, V = 2πd/T V = 2π*5.5 * 107/3.5*105V = 987.36 m/s

Q: 1000 kg satellite orbits the earth with a speed of 9997 m/sm/s. What is the radius of the orbit?…

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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 planet of mass 5.8 x 1024 kg orbits a star of mass 1.6 x 1030 kg in a circular orbit 10 x 1011 m…

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

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Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…

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Q: A planet of mass ?=6.65×1024 kg orbits a star of mass ?=1.55×1029 kg in a circular path. The radius…

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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: Triton is the largest moon of Neptune (it is roughly the same size as the earth's moon). It orbits…

A: The solution for this question has been given below..

Q: A planet of mass m = 6.35 x 1024 kg orbits a star of mass M = 1.85 × 1029 kg in a circular path. The…

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Q: A satellite used in a cellular telephone network has a mass of 2060 kg and is in a circular orbit at…

A: Given,mass of the satellite m = 2060 kgheight of the satellite from surface of the earth mass of the…

Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…

A: As gravitational force is equal to the centripetal force, The angular speed is given by, The time…

Q: The asteroid 243 Ida has its own small moon, Dactyl. Another such system, asteroid 624 Hektor, has a…

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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: Scientists wish to place a satellite near a moon at an altitude of 350.0km from the surface.  The…

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Q: In a solar system far far away, a star that is twice the mass of the Sun is orbited by a planet that…

A: When a planet revolves around a star , there will be two types of forces acting , one is the…

Q: An artificial satellite is in a circular orbit 6.50 × 10² km from the surface of a planet of radius…

A: Given data: The distance between satellite and planet is, d= 6.50×102 km=6.50×105 m The radius of…

Q: Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit…

A: Here, the gravitational force acts as centripetal force So: mv2R=GMmR2i.e.v=GMRAnd also as v=2πRT…

Q: star in the Andromeda galaxy is found to have a planet orbiting it at an average radius of…

A: Given radius(r)=3.38 x 1010 m Orbital period(T)=5.46 x 104 s

Q: ets are in orbits that are similar to that of earth, which orbits the sun (MsunMsun = 1.99× 10^30kg)…

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Q: A rocket is launched from the surface of a planet with mass 9.1 x 1024 kg and radius 3.2 x 106 m at…

A: Concept used: Escape speed is the velocity at which an object escapes the gravitational pull of a…

Q: Calculate the magnitude of the gravitational attråct between the particle and Neptune to three…

A: Gravitational force between two masses  F = Gm₁m₂/r²

Q: us 3 R, where R is equal to the radius of the earth’s orbit = 1 AU = 1.5 × 1011 m. (a) What is the…

A: Given:-  The radius of the sun is  R and the whose most distant point has a radius of 3 R,  The…

Q: Two stars M, and M, of equal mass make up a binary star system. They move in a circular orbit that…

A: Given, Mass of both star is,  M1=M2= 1.45×solar mass=1.45×1.99×1030 kg Orbital time period of each…

Q: The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a…

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Q: Two satellites are in circular orbits around a planet that has radius 9.00×106m9.00×106m. One…

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Q: Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the…

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Q: A spherical planet has an outer radius R; its density p varies as a function of distance r from the…

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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: A solid sphere of uniform density has a mass of 6.2 × 104 kg and a radius of 3.6 m. What is the…

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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: An 800 kg satellite orbits around Earth and take one day for one complete orbit. Earth has a radius…

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Q: A man throws a baseball into orbit near the surface of the Earth. The baseball has a mass of 0.15…

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Q: The Earth’s orbit around the Sun is slightly elliptical. At Earth's closest approach to the Sun…

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Q: A geosynchronous satellite is to be placed in orbit about a planet that has a radius of 5.8x106 m,…

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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: An earth-like planet has a mass of 6.00×1024 kg and a radius of 7000 km. A satellite of mass 55 kg…

A: Magnitude of force exerted by the planet F=GmMr2=GmMR+h2

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:…