Phobos orbits Mars at a distance of 9380 km from the center of the planet and has a velocity of 2137.7 m-s-1. Assume Phobos's orbit is circular. (a) Calculate the mass of Mars.
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A: Given data: The density function is, ρr=3-2r2R2.
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…
A: (a) orbital period of the star T=2πr3GM=2π6.0×104 ly39.461×1015 m1 ly36.67×10-11…
Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Jupiter= 1.898 ⨉ 10 27kg, then, from Kepler’s third law in #4,…
A: G = 6.674 x 10-11 m3/kg/s2 Mass of jupiter, M = 1.898 x 107 kg Ignore the mass(m) of moon
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A: Given Height of satellite h = 8.1 × 105 m Mass of Jupiter M = 1.9 × 1027 Kg Radius of Jupiter R…
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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
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A: distance above the surface (h) = 1000 km = 106 m radius of planet (R) = 8000 km = 8×106 m mass of…
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A: Given Radius = 2570 km = 2570 × 103 m Mass of astronaut m = 60 kg Weight = 81 N Gravitation…
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A: The orbital period of the moon of Uranus, T=13.5 days×24 hours1 day×3600 s1 hour=1.166400×106 s The…
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…
A:
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A: Given, gravitational acceleration above the earth's surface = 3.80 m/s2 Radius of earth = 6370km We…
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A: Height of the probe from the center of the planet is given and time period of rotation of the probe…
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: distance from the earth's surface reached by the mass.
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A: Given that, Mass of the moon (M)= 7.45× 10²² Kg Radius of the moon (R)= 1.74× 10⁶ m Altitude of the…
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A: Gravitational force between two masses F = Gm₁m₂/r²
Q: Calculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height…
A: Mass of the planet, M=8.7×1022kg Height to the satellite's orbit, h=300km=300×103m Radius of the…
Q: Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the…
A:
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…
A: mass of milky way (m) = 8×1011 solar masses = 8×1011×2×1030kg = 16×1041 kg distance (d) = 5.6×104…
Q: The acceleration due to gravity at the moon's surface is 1.67 ms^- 2. If the radius of the moon is…
A:
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- Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 44.4 km/s, and v, = 59.6 km/s respectively. (a) If the period of the first planet P, is 7.80 years, what is the mass of the star it orbits around? kg (b) Determine the orbital period of P,. yrWhat is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write the answer in terms of km/s.Assume the earth's mass is 80.004 x 1025 kg, and radius is 35.532 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.
- Gravitational force is F = Gm1m2/r². Set G = 1 and m1 = 1, where m2 will be a planet with 1800 times Earth's mass (so m2 = 1800) and 30 times Earth's radius (so r = 30). What will F be?) One of the moors of Jupiter, named an orbital radius of 10 4.22 * 10 ^ 8 a period of 1.77 days. Assuming the orbitis circular, calculate the inass of Jupiter. (b) largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 * 10 ^ 9 m a period of 7.16 daysCalculate the mass of Jupiter from this data ) your results to parts (b) consistent ? Yes No ExplainA landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)
- (a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is v| = 225 km/s and the orbital period of each is 11.6 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) M XCM M Part 1 of 3 - Conceptualize From the given data, it is difficult to estimate a reasonable answer to this problem without working through the details and actually solving it. A reasonable guess might be that each star has a mass equal to or slightly larger than our Sun because fourteen days is short compared to the periods of all the Sun's planets. Part 2 of 3 - Categorize The only force acting on each star is the central gravitational force of attraction which results in a centripetal acceleration. When we solve Newton's second law, we can find the unknown mass in terms of the variables…Calculate the period of a satellite orbiting a planet with the mass 8.7 x 1022 kg given the height of the satellite's orbit is 300 km and the radius of the planet is 2000 km. Provide your answer in Sl units.
- Part A Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.1×104 m/s when at a distance of 2.6x1011 m from the center of the sun, what is its speed when at a distance of 4.0×1010 m. Express your answer in meters per second. Πνα ΑΣΦ m/sAstronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 6.9 ✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar massesAstronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. What should the orbital period (in y) of that star be?