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A: Given: Altitude of the satellite h = 2100 mi. Radius of the orbit of the Saturn rA = 85.54×103 mi.…
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A: Given: mass of shuttle craft m = 4500 kg Mass of planet M = 9.70*1025 kg radius of circular orbit r…
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A: Given data The radius is given as R = 1 x 106 m. The time period is given as T = 7 h 31 min.
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A: Satelite mass (m) = 5850kgOrbital radius (r) = 4.10 x 103 m +4.15 x 106mGravitational constant (G) =…
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A: Given data: Height (h) = 4.30 × 106 m Mass (M) = 1.90 × 1027 kg Radius (R) = 7.14 × 107 m Required:…
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A: From energy conservation,12m×0+-GMmR+R/2=12mv2+-GMmRG=gravitation constantM=mass of…
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A: Mass, m = 7.75×1022 kg Radius, R = 4.200×10³ km Distance, d = 2.270×105 km Time period, T = ?
As a space probe approaching the planet Venus on a parabolic trajectory reaches point A closest to the planet, its velocity is decreased to insert it into a circular orbit. Knowing that the mass and the radius of Venus are 4.87 × 1024 kg and 6052 km, respectively, determine (a) the velocity of the probe as it approaches A, (b) the decrease in velocity required to insert it into the circular orbit.
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- Current Attempt in Progress One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M-2.97 x 1024 kg and R-8.31 x 10 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number (b) Number Units UnitsThe orbit of the planet Venus is nearly circular with an orbital velocity of 126.5x103 km/h. Knowing that the mean distance from the center of the sun to the center of Venus is 108.5?1021 km and that the radius of the sun is 695.5x103 km, determine (a) the mass of the sun, (b) the acceleration of gravity at the surface of the sun.(a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 160 km above Earth's surface? (b) What is the period of revolution? Take the mass of earth as 5.98×1024 kg and the radius as 6.37×106 m
- At what distance and what speed from the center of the planet Jupiter must a satellite be in orbit to have a period of 10 hours? Mass of the Jupiter is 1.9*10^27 KgWith what orbital speed will a satellite circle Jupiter if placed at a height of 6.50 10 6 m above the surface of the planet? The mass of Jupiter is 1.90 ✕ 1027 kg and the radius of Jupiter is 7.14 ✕ 107 m. (Dont use scientific notation, use regular notation, example 50000)Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 36.2 km/s and 65.0 km/s. The slower planet's orbital period is 8.33 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years? (a) Number (b) Number i Units Units
- Two planets P1 and P2 orbit around a star S in circular orbits with speeds v₁ = 43.0 km/s, and v₂ = 59.2 km/s respectively. (a) If the period of the first planet P₁ is 700 years what is the mass, in kg, of the star it orbits around? × The gravitational force of the star on the planet supplies the centripetal force needed to keep the planet in its circular orbit. kg (b) Determine the orbital period, in years, of P2 2 × Consider the relationship between the orbital speed and the orbital period in terms of the known variables. yrTwo newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 39.5 km/s and 58.5 km/s. The slower planet's orbital period is 6.68 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years? (a) Number i (b) Number i Units Units ◄►A satellite of mass m= 100 kg is in a circular orbit at a height h = R above the surface of the earth where R is the radius of the earth. Find (a) the acceleration due to gravity at any point on the path of the satellite, (b) the gravitational force on the satellite and (c) the centripetal force on the satellite.