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The value of g at Earth s surface is about 9.8 m/s^2. If Earth were of uniform density (same...

Question:

The value of g at Earth s surface is about 9.8 m/s{eq}^{2} {/eq}.

If Earth were of uniform density (same mass/volume throughout), what would the value of g be inside Earth at half its radius?

Variation of Acceleration Due to Gravity

Acceleration due to gravity of a planet at a point in the gravitational field of the planet is directly proportional to mass of the planet and inversely proportional to square of the distance of the point from the centre of the planet. Acceleration due to gravity of a planet is maximum on the surface of the planet. As we go above the surface of the planet, acceleration due to gravity of the planet decreases. One may feel that as we go inside the planet, acceleration due to gravity of the planet increases because the distance of the point decreases. But in fact acceleration due to gravity inside the planet decreases because we have to consider the mass enclosed upto that distance from the center and not the total mass of the planet

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SYMBOLS USED

{eq}1) g_S =\texttt{ acceleration due to gravity on the surface of the planet }\\ 2) g_{R/2} =\texttt{ acceleration due to gravity...

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Gravitational Pull of the Earth: Definition & Overview

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Chapter 15 / Lesson 17
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Earth's gravitational pull is often misunderstood, but without it, life on Earth would be impossible. In this lesson, we'll define the gravitational pull and give some examples of how it is used. A quiz is provided to test your understanding.


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