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Sunday, December 25, 2022
Friday, December 16, 2022
🔭 How many times?
How many times would the weight of a person on the surface of the Earth increase if the Earth had its current dimensions, but the coefficient of increase in the mass of the Earth would be equal to 5?
w = G M m / R²
w is the weight of a person
m is the mass of the person
M is the mass of the Earth
R is the radius of the Earth (distance between the person and the center of the earth.
the ratio w/wₚ gives the answer to the question "How many times would the weight of a person on the surface of the Earth increase?"
wₚ is the present weight
The sentence "coefficient of increase in the mass of the Earth would be equal to 5" means M = 5Mₚ
Mₚ is the present Earth's mass
w/wₚ = (G M m / R²) / (G Mₚ m / R²) = M / Mₚ = 5Mₚ / Mₚ = 5
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