Gravitational field strength of the earth

AI Thread Summary
The calculation of 'g' using the formula g = GM/r² resulted in a value of 9.792121683 N/kg, which is close to the standard value of 9.8 N/kg. The discrepancy may arise from unit conversion, particularly if the Earth's radius was mistakenly squared in kilometers instead of meters. Ensuring proper unit consistency is crucial in such calculations. The discussion emphasizes the importance of double-checking units to avoid errors. Accurate calculations are essential for reliable results in physics.
AbsoluteZer0
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Hi,

Using the formula g = \frac{GM}{r<sup>2</sup>} I found 'g' to equal (9.792121683 x 106 \frac{N}{kg})

The value of g is 9.8 \frac{N}{kg}. I am wondering if I made an error in my calculations or if there is a method of simplifying to get 9.8.

Thanks,
 
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Units. Always check your units. You most likely divided by the square of the Earth's radius in kilometers.
 
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