the acceleration due to gravity on mercury is 3.7 m/s², which is about six times the acceleration due to…

the acceleration due to gravity on mercury is 3.7 m/s², which is about six times the acceleration due to gravity on pluto. which statement accurately compares the mass and weight of an object on these two planets? an object weighs about one - sixth as much and has about one - sixth the mass on pluto as on mercury. an object weighs about one - sixth as much but has the same mass on pluto as on mercury. an object weighs the same but has about one - sixth the mass on pluto as on mercury. an object weighs the same and has the same mass on pluto as on mercury.

the acceleration due to gravity on mercury is 3.7 m/s², which is about six times the acceleration due to gravity on pluto. which statement accurately compares the mass and weight of an object on these two planets? an object weighs about one - sixth as much and has about one - sixth the mass on pluto as on mercury. an object weighs about one - sixth as much but has the same mass on pluto as on mercury. an object weighs the same but has about one - sixth the mass on pluto as on mercury. an object weighs the same and has the same mass on pluto as on mercury.

Answer

Explanation:

Step1: Recall mass and weight concepts

Mass is an inherent property of an object, doesn't change with location. Weight (W = mg), where (m) is mass and (g) is acceleration - due - to - gravity.

Step2: Analyze the relationship between weights on Mercury and Pluto

Given (g_{Mercury}=6g_{Pluto}). Let mass of the object be (m). Weight on Mercury (W_{Mercury}=mg_{Mercury}), weight on Pluto (W_{Pluto}=mg_{Pluto}). Then (\frac{W_{Pluto}}{W_{Mercury}}=\frac{mg_{Pluto}}{mg_{Mercury}}=\frac{g_{Pluto}}{g_{Mercury}}=\frac{1}{6}).

Answer:

An object weighs about one - sixth as much but has the same mass on Pluto as on Mercury.