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meep26wesley
High School
If the mass of the Earth somehow increased with no change in radius, your weight would
increase also
decrease
stay the same
Leave an answer
Our People Answers
1
(Based on todays review)
-
skyluke89
Answer:
increase also
Explanation:
The weight of a person is equal to the gravitational pull exerted by the Earth on the person:
where
is the gravitational constant
is the mass of the Earth
is the mass of the person
is the Earth's radius
We notice that the weight is directly proportional to the mass of the Earth. Therefore, if the mass of the Earth M increases, and the radius R does not change, the weight of the person increases as well.
-
smmwaite
Answer
Increases also.
The force due to gravity is given by,
F = GM.m/r²
Where G is a constant of proportionality
∴ F ∝ M.m/r²
When r remains constant, force due to gravity, F, will be;
F ∝ M.m
Where M is the mass of the earth and m is your mass
Since your mass does not change, we are going to have;
F ∝ M.
This means the weight F is directly proportional to the mass of the earth. when it increases the your weight also increases.
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