What would a person weigh on a hypothetical planet whose mass is 1/100 of earth and its radius is 1/4th of the earth and he weighs 600N on Earth?

Asked by Taleemtutor, Last updated: Apr 10, 2024

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3 Answers

J. Alfie, Content Writer, Masters in Literature, Dallas,Texas

Answered Dec 14, 2020

The correct answer is 96N.
The individual will weigh 96N on the planet.
We know that weight is calculated with the mass of an object multiplied by the gravitation force; W =mg.
To find gravity on this hypothetical planet, we know that the radius on the hypothetical planet is R/4. Where R is the radius of the earth. The weight of the individual on weight is 600N.
According to Newton’s law, force acting on the body is: F = GMm/R^2
M is the mass of the earth
Mass of hypothetical parent M/100
g = GM/r^2
G is gravitational constant
M is mass of the planet
g = (6.67 x 10 ^-11) x {(5.97 x 10 ^24)/100}/ {(6.38 x 10^6)/4}^2
g = 1.57, approximately, 1.6
W = mg
W = 60kg x 1.6
= 96 N

E. Good

Answered Mar 26, 2019

W =mg
Formula for finding gravity on a particular planet
g = GM/r^2
G is gravitational constant (6.67 x 10 ^-11)
M is mass of the planet (mass of earth 5.97 x 10 ^24)
r is radius
g = (6.67 x 10 ^-11) x {(5.97 x 10 ^24)/100}/ {(6.38 x 10^6)/4}^2
g = 1.57
approx. 1.6
W = mg
W = 60kg x 1.6
= 96 N
Hope this helps.