Surface Gravity on Jupiter

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The surface gravity on a planet can be determined from Newton 's Law of Universal Gravitation:

• F = G m₁m₂ / R²

This says that a planet of mass m₁
and radius R
will exert a force on an object (you) of mass m₂

• F = G m₁m₂ / R²

So we can relate the force on the surface of Jupiter to the force on the surface of the Earth.
It will change like:

• m_Jupiter / R²_Jupiter

Since Jupiter has a mass that is 318 times the mass of the Earth
and a radius that is 11.2 times the radius of the Earth
we expect the surface gravity to be

• 318/(11.2)² = 2.5 times the Earth's