Answer:
The mass of the earth is, M = 5.98 x 10²⁴ kg
Explanation:
Given data,
The acceleration due to gravity, g = 9.8 m/s²
The radius of Earth, R = 6400 km
=6.4 x 10⁶ m
The universal gravitational constant, G = 6.67 x 10 ⁻¹¹ Nm²kg⁻²
Using the equation,
GM = gR²
M = gR² / G
Substituting the values,
M = 9.8 x (6.4 x 10⁶)² / 6.67 x 10 ⁻¹¹
= 5.98 x 10²⁴ kg
Hence, the mass of the earth is, M = 5.98 x 10²⁴ kg
