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meep26wesley
High School
The planet Jupiter is about 300 times as massive as Earth, yet on its surface you would weigh only about 3 times as much. This is because
a. your mass is 100 times less on Jupiter
b. Jupiter is significantly farther from the sun
c. Jupiter's radius is 10 times the Earth's radius
d. you are 100 times more weightless there n
e. one of these
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skyluke89
Answer:
c. Jupiter's radius is 10 times the Earth's radius
Explanation:
The weight of a person on the surface of a planet is equal to the gravitational pull exerted by the planet on the person:
where
is the gravitational constant
M is the mass of the planet
m is the mass of the person
R is the radius of the planet
The weight of a person on Earth is given by:
where
is the mass of the Earth and
is the Earth's radius.
We know that Jupiter's mass is 300 times the Earth's mass:
while Jupiter's radius is 10 times the Earth's radius:
So, the weight of the person on Jupiter is
So, the weight would be only 3 times as much.
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