An unknown planet (mass is equal to 4.26 x 10^24 kg) is orbiting around the sun (mass of the sun is equal to 6.623703×1035kg). Knowing that the gravitational force between the unknown planet and the sun is (5.18 x 10^9)N, is the unknown planet nearer or farther to the sun compared to earth? (earth's distance to sun is 1 AU) Express your answer in terms of astronomical units or AU (1AU = 1.496 x 108 km). Assuming that the sun is fixated at a center point, calculate the area (in of the unknown planet's orbit (assume that the orbit is circle).

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 21P: Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr....
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An unknown planet (mass is equal to 4.26 x 10^24 kg) is orbiting around the sun (mass of the sun is equal to 6.623703×1035kg). Knowing that the gravitational force between the unknown planet and the sun is (5.18 x 10^9)N, is the unknown planet nearer or farther to the sun compared to earth? (earth's distance to sun is 1 AU) Express your answer in terms of astronomical units or AU (1AU = 1.496 x 108 km). Assuming that the sun is fixated at a center point, calculate the area (in of the unknown planet's orbit (assume that the orbit is circle).
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