The average density of the earth is about 5.50 × 10³ kg/m³

<h3>Further explanation</h3>
Let's recall the Gravitational Force formula:

<em>where:</em>
<em>F = Gravitational Force ( N )</em>
<em>G = Gravitational Constant ( = 6.67 × 10⁻¹¹ Nm²/kg² )</em>
<em>m = mass of object ( kg )</em>
<em>R = distance between object ( m )</em>
Let us now tackle the problem!

<u>Given:</u>
Radius of The Earth = R = 6378 km = 6378000 m
Gravitational Constant = G = 6.67 × 10⁻¹¹ Nm²/kg²
Gravitational Acceleration = g = 9.90 m/s²
<u>Asked:</u>
Average Density of the Earth = ρ = ?
<u>Solution:</u>
<em>Firstly , we will calculate the mass of the Earth as follows:</em>

→ <em>Equation 1</em>

<em>Next , we could calculate the average density of the Earth as follows:</em>

← <em>Equation 1</em>





<h3>Learn more</h3>

<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Gravitational Force