Calculate the difference between the acceleration due to Jupiter's gravity at Io's center and the acceleration on Io's surface at the point closest to the planet.
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- At what height (in km) above the surface of Earth would the gravitational acceleration be 9.6 m/s2?In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.40×1016 kg and a radius of 8.20 km What is the speed of a satellite orbiting 4.90 km above the surface? What is the escape speed from the asteroid?Suppose you are in a circular orbit above the moon Rhea with a radius of 824.7 km, and you have 154.4 m/s of delta V. Suppose you put all your delta V to go into an elliptical orbit, what is the semi-major axis of this elliptical orbit assuming the mass of Rhea is 2.3065 ×1021 kg and you can ignore the gravitational effects of Saturn?
- Venus is known as the 'Earth's sister' because of its similar size and gravity. It has a mass of 4.87 x 10^24 kg and an average radius of 6060 km. As the 150 kg satellite slowly approaches the surface of Venus it is influenced by its gravitational field. (a) Describe how the satellite gravitational potential energy changes as it is moving from an altitude of 5000 km to the surface of Venus. (b) Calculate the gravitational fieid strength on the surface of Venus.In 2000 , NASA placed a satellite in orbit around an asteroid. consider a spherical asteroid with a mass of 1.50 * 10^16 kg and a radius of 10.0 km what is the speed of a satellitie orbiting 5.90 km above the surface ? express with appropriate units what is the escape speed from the asteroid (express with appropriate units)answer typed
- The Moon travels in a 3.8×105km radius orbit about Earth. Earth's mass is 5.97×1024kg. Determine the period TT for one Moon orbit about Earth using Newton's law of universal gravitation and Newton's second law.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)a) What is the total energy needed to place a 2.0 x 103 kg satellite into circular Earth orbit at an altitude of 5.0 x 102 km? b) How much additional energy would have to be supplied to the satellite once it was in orbit, to allow it to escape from Earth’s gravitational field?
- A 2660-kg spacecraft is in a circular orbit 1540 km above the surface of Mars. How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4500 km above the surface? Express your answer to three significant figures.What is the free-fall acceleration at the surface of (a) Mars and (b) Jupiter?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?