Tuesday 19 August 2008

What is the gravitational force between Earth and the Sun?

By
Newton's Law of Universal Gravitation, there is the gravitational forces between any bodies
having mass. Each body attracts another body, and the direction of this force is along the
straight line that goes through the bodies.

 


The magnitude of this force is  `G*(m_1*m_2)/R^2,` where `m_1` and `m_2` are the
masses, `R` is the distance and `G approx 6.7*10^(-11) (N*m^2)/(kg)^2`  is the universal
constant called gravitational constant.

The bodies are considered to be small
with respect to the distance (point masses). For a bodies of a complex shape it is necessary to
consider small pieces and add up forces.

 

Earth and the
Sun may be considered as point masses. The mass of Earth is about  `6*10^24 kg,` the mass of the
Sun is about `2*10^30 kg` and the distance is about `1.5*10^11 m.` So the force is


`6.7*10^(-11)*6*10^24*2*10^30/(2.25*10^22)=3.6*10^22(N).`

This is
the answer.

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