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What is the magnitude of the gravitational force between the e... - Science
Question
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 \times 10^{24} kg and radius of the earth is 6.4 \times 10^6 m.)
Answer
Calculation of Gravitational Force:
Given:
Mass of the earth (
M) =6 \times 10^{24}kgMass of the object (
m) = 1 kgRadius of the earth (
R) =6.4 \times 10^6mGravitational constant (
G) =6.7 \times 10^{-11}Nm^2 kg^{-2}
Formula:
F = \frac{G \times M \times m}{R^2}
Calculation:
F = \frac{6.7 \times 10^{-11} \times 6 \times 10^{24} \times 1}{(6.4 \times 10^6)^2}F = \frac{6.7 \times 6 \times 10^{13}}{40.96 \times 10^{12}}F = \frac{40.2 \times 10}{40.96}F = 9.8 \text{ N}