Gravitational Pull on Earth

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What is the gravitational pull on the surface of the earth?

We have just learned that if we were separated from the surface of the earth, its larger mass would mean that although the gravitational force experienced by both us and the earth is the same, we would accelerate towards it at a faster rate than it would towards us. How fast would we accelerate towards the earth? We can work this out by using our gravitational force formula.

According to NASA, the mass of the earth = 5.9726 x 1024 kg, and its radius is 6371 x 103 m. The gravitational constant is 6.674×10−11 m3/kg⋅s2.

The above calculations tell us that a 1 kg mass would accelerate towards the earth at a rate of 9.8 m/s2.

Remember, both the earth and the 1 kg mass experience the gravitational pull towards each other. So the next question is: how fast would the earth move towards the 1 kg mass?

The earth moves towards the 1kg mass at an acceleration of 1.64 x 10-24 m/s2, or 0.00000000000000000000000164 m/s2; that is, it appears to stay still.