The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth).
Solution
<p>The acceleration due to gravity (g) at a distance (r) from the center of a planet is given by:</p>
<p>$g = \frac{G M}{r^2}$</p>
<p>where:</p>
<ul>
<li>G is the gravitational constant,</li>
<li>M is the mass of the planet,</li>
<li>r is the distance from the center of the planet.</li>
</ul>
<p>If the height h of a point P above the surface of the Earth is equal to the diameter of the Earth, then the distance r from the center of the Earth to the point P is 3 times the radius of the Earth. Substituting this into the equation for g gives:</p>
<p>$g' = g \left(\frac{R}{3R}\right)^2 = \frac{g}{9}$</p>
<p>where:</p>
<ul>
<li>g' is the acceleration due to gravity at the point P,</li>
<li>R is the radius of the Earth.</li>
</ul>
<p>Therefore, the value of acceleration due to gravity at point P is g/9.</p>
About this question
Subject: Physics · Chapter: Gravitation · Topic: Newton's Law of Gravitation
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