Question

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Answer 1

Answer:

For every increase in mass, the gravitational force increases.

If the total mass increases by a factor of 4, the gravitational force increases by a a factor of 4.

Explanation:

Compare the first row and the second row.  Notice that m₂ stays the same, and m₁ triples.  Notice that Fg also triples.  So Fg is directly proportional to m₁.

Now compare the second row to the fourth row.  Notice that m₁ stays the same and m₂ quadruples.  Notice that Fg also quadruples.  So Fg is also directly proportional to m₂.

Therefore:

Fg = k m₁ m₂

where k is a constant (in this case, k = 1).

So if the product m₁ m₂ increases by a factor of 4, then Fg will also increase by a factor of 4.