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Classical Mechanics

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Moderate

Surface Acceleration

CLMECH-S91GNK

The Earth has a radius of roughly 6400 km. Using Newton's Law of Gravity and the acceleration of gravity on the surface of the Earth (9.8 m/s$^2$), which of the following best represents the mass of the Earth?

Reminder: The Gravitational Constant G is: $6.67 \times 10^{-11} m^3 kg^{-1} s^{-2}$

A

4.1 $\times 10^{7}$ kg

B

9.4 $\times 10^{17}$ kg

C

6.0 $\times 10^{24}$ kg

D

8.2 $\times 10^{25}$ kg