You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its radius to be 9 x 106 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.2 x 10¹¹1 m from its star with a period of 402 days (3.473 x 107 sec). Once on the surface you find that the free-fall acceleration is 12.2 m/sec². a) What is the mass of the planet? Answer: 1.5 x 10²5 kg. b) What is the mass of the star? Answer: 5.2 x 103⁰ kg.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter26: Relativity
Section: Chapter Questions
Problem 9P: A muon formed high in Earth's atmosphere travels toward Earth at a speed v = 0.990c for a distance...
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D
Gm₁m₂
Fg
KE = mv², Ug = -
2πr
, ac = =²₁, v = ²7₁
T
Gm₁m₂
GM
g = G, Vesc =
2GM
R
, E = KE + Ug, G = 6.674 x 10-¹1 Nm²/kg²
Problem 1:
You are the science officer on a visit to a distant solar system. Prior to landing on a planet you
measure its radius to be 9 x 106 m and its rotation period to be 22.3 hours. You have
previously determined that the planet orbits 2.2 x 10¹¹ m from its star with a period of
402 days (3.473 x 107 sec). Once on the surface you find that the free-fall acceleration is
12.2 m/sec².
a) What is the mass of the planet? Answer: 1.5 x 1025 kg.
b) What is the mass of the star? Answer: 5.2 x 1030 kg.
Transcribed Image Text:D Gm₁m₂ Fg KE = mv², Ug = - 2πr , ac = =²₁, v = ²7₁ T Gm₁m₂ GM g = G, Vesc = 2GM R , E = KE + Ug, G = 6.674 x 10-¹1 Nm²/kg² Problem 1: You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its radius to be 9 x 106 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.2 x 10¹¹ m from its star with a period of 402 days (3.473 x 107 sec). Once on the surface you find that the free-fall acceleration is 12.2 m/sec². a) What is the mass of the planet? Answer: 1.5 x 1025 kg. b) What is the mass of the star? Answer: 5.2 x 1030 kg.
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