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
make an observation!
you will need strong observations to answer the guiding question later on.

Explanation:

Step1: Recall gravitational force formula

Newton's law of universal gravitation: $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational constant, $m_1$ (Earth's mass), $m_2$ is the mass of another object, and $r$ is the distance between them.

Step2: Substitute doubled Earth mass

Let new Earth mass $m_1' = 2m_1$. New force: $F' = G\frac{(2m_1)m_2}{r^2} = 2\times G\frac{m_1m_2}{r^2}$

Step3: Relate new force to original

$F' = 2F$

Answer:

C. It would be twice as strong