Question

5 how would earths gravitational force change if its mass doubled? a it would be four times weaker b it would be half as strong c it would be twice as strong d it would be four times as strong

Explanation:

Step1: Recall gravitational force formula

The gravitational force between an object and Earth is given by $F = G\frac{Mm}{r^2}$, where $G$ is the gravitational constant, $M$ is Earth's mass, $m$ is the object's mass, and $r$ is the distance between their centers.

Step2: Substitute doubled Earth mass

Let new Earth mass be $M' = 2M$. New force $F' = G\frac{M'm}{r^2} = G\frac{2Mm}{r^2}$

Step3: Compare new and original force

$F' = 2 \times G\frac{Mm}{r^2} = 2F$, so force doubles.

Answer:

C. It would be twice as strong