The radius of Mars is about 3376 km, and its mass about 0.1 times that of the earth. What will be the velocity of a satellite circling Mars at a distance of 10 000 km from the centre of the planet?
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- 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 KgAn asteroid is discovered to have a tiny moon that orbits it in a circular path at a distance of 147 km and with a period of 35.0 h. The asteroid is roughly spherical (unusual for such a small body) with a radius of 24.3 km. a) Find the acceleration of gravity at the surface of the asteroid. b) Find the escape velocity from the asteroid.With 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 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 satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 409 km above the earth’s surface, while that for satellite B is at a height of 835 km. Find the orbital speed for (a) satellite A and (b) satellite B.An undiscovered planet, many light-years from Earth, has one moon, which has a nearly circular periodic orbit. If the distance from the center of the moon to the surface of the planet is 2.405×105 km and the planet has a radius of 3375 km and a mass of 7.30×1022 kg , how long (in days) does it take the moon to make one revolution around the planet? The gravitational constant is 6.67×10-11 N·m2/kg2 .
- The is a planet orbiting the sun. Its mass is 9.3 x 10^22kg and it is traveling in a circular orbit at 9.5km/s. The suns mass is 1.982 x 10^31 kg. How far is the planet from the sun?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.Scientists want to place a 2800 kg satellite in a circular orbit around Mars. They plarto have the satellite orbit at a speed of 2100 m/s. How far above the surface of Mars will the satellite orbit? Mmars = 6.5 x 10^23 kg mars = 3.40 x 10^6 m G= 6.67 x 10^-11 N-m2/kg?
- A satellite is orbiting earth at a distance of 3.1 X 105 m above the surface of the Earth. What is its orbital speed? (G = 6.67 X 10-11 Nm2/Kg2; M of Earth = 5.97 x 10 24 kg; Radius of Earth = 6.37 x 10 6 m)An undiscovered planet, many light-years from Earth, has one moon, which has a nearly circular periodic orbit. If the distance from the center of the moon to the surface of the planet is 2.270 × 10³ km and the planet has a radius of 4.200 × 10³ km and a mass of 7.75 × 1022 kg, how long (in days) does it take the moon to make one revolution around the planet? The gravitational constant is 6.67 × 10-¹¹ N.m²/kg². T = X10 TOOLS daysA satellite is in a circular orbit around the Earth at an altitude of 3.42 x 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 x 10° m, and the mass of the Earth is 5.98 x 1024 kg. (b) Find the speed of the satellite. km/s (c) Find the acceleration of the satellite. m/s? toward the center of the earth