Question

multiple choice question
the sun is much more massive than earth. why does the sun exert less gravity on you than earth does?
o the sun is a star not a planet.
o the sun is very far away.
o the sun has more objects orbiting it.
o the sun is made of mostly gas.

Explanation:

Gravitational force \(F = G\frac{Mm}{r^{2}}\), where \(G\) is the gravitational constant, \(M\) and \(m\) are the masses of two objects, and \(r\) is the distance between them. Although the Sun (\(M_{Sun}\)) has a much larger mass than the Earth (\(M_{Earth}\)), the distance \(r\) from a person on Earth to the Sun is extremely large. The large \(r\) value in the denominator of the gravitational - force formula makes the gravitational force exerted by the Sun on a person on Earth much smaller than the gravitational force exerted by the Earth (where \(r\) is the radius of the Earth). The fact that the Sun is a star (not relevant to the gravitational - force calculation in this context), has more objects orbiting it (not relevant to the gravitational force on a person on Earth), or is made of mostly gas (not relevant to the gravitational - force formula \(F = G\frac{Mm}{r^{2}}\)) does not explain why the Sun exerts less gravity on a person on Earth.

Answer:

The Sun is very far away.