Gravitational Forces in 2D Video Lessons

Concept

# Problem: The planet Jupiter is about 300 times as massive as Earth. yet on its surface you would weigh only bout 3 times as much because A) Jupiter's radius is about 10 times Earth's radius. B) you are 100 times mote weightless there C) your mass is 100 times less on Jupiter. D) Jupiter is significantly farther from the Sun. E) none of the above.

###### FREE Expert Solution

Force on the object with mass m on the surface of a planet is given by:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{G}\mathbf{Mm}}{{\mathbf{R}}^{\mathbf{2}}}}$

Mass of Jupiter is 300 times the mass of the Earth.

MJ = 300ME

The weight is 3 times, so we can take FJ = 3FE

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###### Problem Details

The planet Jupiter is about 300 times as massive as Earth. yet on its surface you would weigh only bout 3 times as much because

B) you are 100 times mote weightless there

C) your mass is 100 times less on Jupiter.

D) Jupiter is significantly farther from the Sun.

E) none of the above.