When a falling meteoroid is at a distance above the Earth's surface of 3.30 times the Earth's radius, what is its acceleration (m/s2 towards earth) due to the Earth's gravitation?

Given data: A meteoroid is falling above the Earth's surface Altitude (h) = 3.30R Required: The…

Answered: When a falling meteoroid is at a…

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 13P

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When a falling meteoroid is at a distance above the Earth's surface of 3.30 times the Earth's radius, what is its acceleration (m/s² towards earth) due to the Earth's gravitation?

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I am lost on the step by step in step #2: can you please break them down. thanks!

The acceleration due to gravity at altitude h is given by

gh = GMR + h2= GM(R+3.30R)2= 1(4.30)2×GMR2= 118.49×9.8 m/s2= 0.530 m/s2

The acceleration of meteoroid due to earth's gravitation is equals to 0.530 m/s²

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