Answered: The acceleration due to gravity of…

The acceleration due to gravity of planet X is 7.80m/s2, and its radius is 5,900 km. The gravitational constant is ?=6.67×10−11m2kg−1s−2. The mass of planet X is close to:

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 4OQ

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Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?
The acceleration due to gravity of planet X is 7.80m/s2, and its radius is 5,900 km. The gravitational constant is ?=6.67×10−11m2kg−1s−2. The mass of planet X is close to:
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Here, (G = 6.67×10−11N m2/kg2) is the universal gravitational constant, (M) is the mass of the object,and (r) is its radius. For example, the mass of the Earth is (M = 6×1024kg) and the radius is (r = 6.4×106m). Thus, the surface gravity of Earth is:g=(6.67×10−11×6×1024(6.4×106)2)m/s2= 9.8 m/s2ObjectMassRadiusMercury3.3×1023kg2.4×106mVenus4.9×1024kg6.1×106mMars6.4×1023kg3.4×106mJupiter1.9×1027kg7.0×107mSaturn5.7×1026kg5.8×107mUranus8.7×1025kg2.5×107mNeptune1.0×1025kg2.5×107m ProcedureFor each of the planets listed above, compute the surface gravity in m/s21
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