A satellite is moving in a circular orbit around a small planet with an orbital speed to. The satellite is very close to the surface of the planet. In other words, the orbital radius of the satellite is equal to the radius R 1700 km of the planet. A projectile is launched vertically upward from the surface of the same planet with an intial speed to (same as the orbital speed of the satellite). Assuming that the acceleration due to gravity on the planet is constant. (a) calulate how high will the projectile rise. (Neglect air resistance.) (b) Calculate the maximum height using energy conservation theorem. (c) one is correct. Explain why the two values of the maximum hieght are different and which

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A satellite is moving in a circular orbit around a small planet with an orbital speed to. The
satellite is very close to the surface of the planet. In other words, the orbital radius of the
satellite is equal to the radius R 1700 km of the planet. A projectile is launched vertically
upward from the surface of the same planet with an intial speed to (same as the orbital speed
of the satellite).
Assuming that the acceleration due to gravity on the planet is constant.
(a)
calulate how high will the projectile rise. (Neglect air resistance.)
(b)
Calculate the maximum height using energy conservation theorem.
(c)
Explain why the two values of the maximum hieght are different and which
one is correct.
Transcribed Image Text:A satellite is moving in a circular orbit around a small planet with an orbital speed to. The satellite is very close to the surface of the planet. In other words, the orbital radius of the satellite is equal to the radius R 1700 km of the planet. A projectile is launched vertically upward from the surface of the same planet with an intial speed to (same as the orbital speed of the satellite). Assuming that the acceleration due to gravity on the planet is constant. (a) calulate how high will the projectile rise. (Neglect air resistance.) (b) Calculate the maximum height using energy conservation theorem. (c) Explain why the two values of the maximum hieght are different and which one is correct.
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