## Related questions with answers

Question

By what factor would your weight change if Earth’s diameter were doubled and its mass were also doubled?

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2The gravitational force can be described by the formula:

$\begin{gather} F_g = \dfrac{GMm}{r^2} \end{gather}$

If the Earth's diameter would be doubled, and the mass was also doubled, we calculate for the change in the gravitational force you will experience using Eq (1) as follows:

$\begin{align*} F_g &= \dfrac{G(2M)m}{(2r)^2} \\ &= \dfrac{2GMm}{4r^2} \\ &= \boxed{2F_g} \end{align*}$

Since the gravitational force will be double in magnitude, this means that your weight will also be doubled

Answered 2 years ago

Step 1

1 of 3$F=\dfrac{(G\times m \times m)}{d^2}$

Equation for gravitational force can be found on page 172.

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