Question

Help ASAP! Trying to get exempt from the final.

2. Jupiter has a radius of about 11.0 earth radii, and a mass 318 times the earth’s mass. Estimate the gravitational field on the surface of Jupiter compared to that on the earth. Show your work.

Answer 1

Acceleration due to gravity is
\[\frac{GM}{r^2}\]
you want to work out the ratio of that of Jupiter to Earth
\[\frac{GM_J}{r_J^2} \div \frac{GM_E}{r_E^2}\]
in the question you're told
\[r_J = 11\times r_E\]
\[M_J = 318 \times r_E\]

I'm sure you're clever enough to plug in the numbers and cancel out the appropriate variables.

Answer 2

Whoops, I meant
\[M_J = 318\times M_E\]

Answer 3

got it thanks (: