If radius of earth is suddenly doubled while mass remaining same, what will happen to your weight on the surface?
Answers
Answer:
g = GM/R^2
where M is the mass of Earth and R is its radius
If R is doubled, new g = GM/(2R)^2 = 1/4* GM/R^2
= 1/4×g
Original weight = mg
New weight = m × new g = m×1/4g = 1/4 mg
So weight on the surface will decrease by a factor of 1/4
weight on the surface will be reduced by 75 % If radius of earth is suddenly doubled while mass remaining same,
Explanation:
g = GM/r²,
Where M is the mass of the Earth,
r the radius of the Earth
(or distance between the center of the Earth and person standing )
G = universal Constant
radius of earth is suddenly doubled while mass remaining same
=> g new= GM/4r²
=> g new= (1/4) GM/r²
=> g new = g/4
Earlier Weight on Surface = mg
New weight on Surface = mg/4
= (1/4) mg
Hence weight will be 1/4 of Weight
weight will be reduced by 75 %
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