Question

the acceleration due to gravity on jupiter is 23.1 m/s², which is about twice the acceleration due to gravity on neptune. which statement accurately compares the weight of an object on these two planets? an object weighs about one - fourth as much on jupiter as on neptune. an object weighs about one - half as much on jupiter as on neptune. an object weighs about two times as much on jupiter as on neptune. an object weighs about four times as much on jupiter as on neptune.

Explanation:

Step1: Recall weight formula

Weight $W = mg$, where $m$ is mass and $g$ is acceleration - due - to - gravity.

Step2: Analyze the relationship

Let $g_J$ be the acceleration due to gravity on Jupiter and $g_N$ be the acceleration due to gravity on Neptune. Given $g_J=23.1\ m/s^2$ and $g_J = 2g_N$.
The weight of an object on Jupiter $W_J=mg_J$ and on Neptune $W_N = mg_N$. Substituting $g_J = 2g_N$ into the weight formula for Jupiter, we get $W_J=m\times(2g_N)=2mg_N = 2W_N$.

Answer:

An object weighs about two times as much on Jupiter as on Neptune.