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…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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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