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IceJOKER [234]
3 years ago
11

If I could snap my fingers and move Earth to an orbital distance at 9 AU, what would happen to the strength of the Sun's gravita

tional force on Earth?
Physics
1 answer:
Vitek1552 [10]3 years ago
6 0

Answer:

    \frac{F}{F_o} = 1.2 10⁻²

force of attraction of the sun decreases by a factor of 1.2 10⁻² times

Explanation:

The force of gravity is given by the universal law of attraction

          F = G m Ms / r²

where m is the mass of the Earth, Ms the mass of the Sun and r the distance from the Earth to the Sun

for the initial orbit

          F₀ = G m Ms / R₀²

for one orbit

          R = 9R₀

         F = G \frac{m M_s}{ ((9R_o)^2}

         F = G \frac{m M_s}{81 \  R_o^2}

we substitute

         F = F₀ / 81

         \frac{F}{F_o} = 1.2 10⁻²

therefore the force of attraction of the sun decreases by a factor of 1.2 10⁻² times

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