Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the acceleration due to gravity on jupiter is 23.1 m/s², which is about…

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:

Brief Explanations

Weight is calculated by the formula \( W = mg \), where \( m \) is mass (constant for an object) and \( g \) is acceleration due to gravity. Given Jupiter's \( g \) (23.1 \( \text{m/s}^2 \)) is about twice Neptune's \( g \). Since \( m \) is constant, weight is proportional to \( g \). So if \( g_{\text{Jupiter}} \approx 2 \times g_{\text{Neptune}} \), then \( W_{\text{Jupiter}} \approx 2 \times W_{\text{Neptune}} \), meaning an object weighs about two times as much on Jupiter as on Neptune.

Answer:

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