A 120Ib person would weight about 20Ib on the earth's moon. A 150 Ib person would weight 28I Ib on lo, a moon of Jupiter. Use ratio table to determine which make a person weight the most
well, a 150lb person on the moon would weigh
(150/120) * 20 = 25lb
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To determine which scenario makes a person weigh the most, we can create a ratio table for each person's weight on the moon and the moon's mass compared to Earth's mass.
For the first scenario, let's consider a 120 lb person on Earth's moon:
Person's weight on Earth's moon: 20 lb
Moon's mass compared to Earth's mass: 1/6
Using these values, we can set up a ratio table:
Weight on Earth's moon | Moon's mass compared to Earth's mass
-------------------------------------------------------
20 lb | 1/6
For the second scenario, let's consider a 150 lb person on Lo, a moon of Jupiter:
Person's weight on Lo: 28 lb
Lo's mass compared to Earth's mass: Unknown
Using the given information, we can set up a ratio table:
Weight on Lo | Lo's mass compared to Earth's mass
-------------------------------------------------
28 lb | ?
Now, to find the unknown value, we can use the fact that the weight of an object on a celestial body is proportional to the mass of the object and the mass of the celestial body. Therefore, we can set up the following proportion:
Weight on Earth's moon / Moon's mass compared to Earth's mass = Weight on Lo / Lo's mass compared to Earth's mass
Applying this proportion, we have:
20 lb / (1/6) = 28 lb / Lo's mass compared to Earth's mass
Next, we can cross-multiply:
(20 lb) * (Lo's mass compared to Earth's mass) = (28 lb) * (1/6)
Simplifying further:
20 lb * Lo's mass compared to Earth's mass = 28 lb * (1/6)
Now, divide both sides by 20 lb:
Lo's mass compared to Earth's mass = (28 lb * (1/6)) / 20 lb
Calculating,
Lo's mass compared to Earth's mass ≈ 0.09333
Therefore, the ratio table for the second scenario becomes:
Weight on Lo | Lo's mass compared to Earth's mass
-------------------------------------------------
28 lb | 0.09333
Comparing the two ratio tables, we can see that a person would weigh more on Lo, the moon of Jupiter, because the weight is 28 lb compared to 20 lb on Earth's moon.
So, in conclusion, a 150 lb person on Lo, a moon of Jupiter, would weigh the most compared to a 120 lb person on Earth's moon or anywhere else.