If the mass of the Sun is 1.99x10^30 kg and the mass of Venus is 4.87x10^24 kg, what force does the Sun exert on Venus?

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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

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Here we need Newton's law of universal gravitation:

`F=G*(m_1*m_2)/(R^2),`

where F is the gravitational force, G is the universal constant, `m_1` and `m_2` are masses of two objects and R is the distance between them.

So we have to know the value of G and the distance between the Sun and Venus. The Internet says that

`G=6.674*10^(-11) N*(m/kg)^2`

and

`R=108*10^6 km=1.08*10^11 m.`

So the force exerted is

`(6.674*1.99*4.87/1.08^2)*10^(-11)*10^30*10^24*10^(-22)=55.45*10^21` = 5.545*10^22 (N).

This is the answer to the force exerted by the Sun on Venus.

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