Answer:
The weight would be doubled
Explanation:
The weight of an object on Earth is equal to the gravitational attraction exerted by the Earth on the object:
[tex]F=G\frac{m M}{r^2}[/tex]
where
G is the gravitational constant
m is the mass of the object
M is the mass of the Earth
r is the distance between the object and the Earth's center
We see that the weight (F) is directly proportional to the Earth's mass (M): so, if the Earth had twice the mass that it does now (M'=2M), then the weight F would be also doubled, in fact:
[tex]F'=G\frac{mM'}{r^2}=G\frac{m(2M)}{r^2}=2G\frac{mM}{r^2}=2F[/tex]
