What does Kepler's third law predict for the period of Mars' orbit around the Sun? Give your answer in Days. G=6.67x10-11 Nm2/kg? MMars=6.4x1023 kg MEarth=5.97x1024 kg Msun= 2.00x1030 kg Distance from Sun to Mars = 2.28x1011 m There are 86400 seconds in 1 day. Days

The sun is 93 million miles from earth. a) Convert 93 million miles to meters and use scientific notation and round your leading coefficient in your answer to the nearest tenth.  (Show step by step conversion factors).  EARTH has a mass of 6 x 10^24 kg and the Sun's mass is 1.9 x 10^30 kg.  b). Use Newton’s law of universal gravitation to determine the gravitational force (N) between the earth and the sun.

Given the orbital radius and period of a moon, derive an algebraic solution for the mass of the planet that moon orbits. Watch those units, convert to SI.

Kepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.

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Can you show me how to solve this?

According to Lunar Laser Ranging experiments the average distance LM from the Earth to the Moon is approximately 3.85 × 10° km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). How can the mass of the Earth be calculated using the information above? Select the correct statements. Select one or more: O a. Use Newton's third law. O b. Use Newton's first law. c. Use Coulombs law. O d. Use Newton's second law.

Show solution in converting the measurements and units.

Describe your approach to the calculation of the period of a satellite moving in the gravitational field of a planet with mass M. a. Use Newton's 3rd law. b. Use Newton's law of universal gravitation. c. Use Kepler's 3rd law. d. Use Newton's 2nd law. e. Use Newton's 1st law

2. The planet Jupiter has an orbital period of 4332.8 days, and its greatest distance (aphelion distance) from the Sun is 5.455 AU {where 1 AU = 1 Astronomical Unit = 1.496x10'' m}. The mass of the planet Jupiter is 1.898x1027 kg and the mass of the Sun is 1.988x1030 kg. {G = 6.67x10'" Nm/kg?) (a) Calculate the perihelion distance (closest distance) in Astronomical Units (AU) of the planet Jupiter from the Sun. (b) Calculate the eccentricity of planet Jupiter's orbit around the Sun. (c) Calculate the smallest speed of planet Jupiter around the Sun in km/s. At what point in Jupiter's orbit does Jupiter have its smallest speed?