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Answer :
Final answer:
A 162 lb person on Earth would weigh about 32.4 lb on the Moon. We arrived at this answer by creating a conversion factor based on the weight of another person known on both Earth and Moon and applying that factor to the weight of 162 lb.
Explanation:
To solve this, we need to understand the relationship between the weight of an object on Earth and its weight on the Moon, which is that the latter is direct proportional to the former. When a person, who weighs 141lb on earth, goes to the moon, their weight changes to 28.2lb. This gives us a conversion factor, which can be calculated as the weight on earth divided by the weight on the moon (141lb / 28.2 lb = 5). Thus, to find out how much a 162 lb person would weigh on the moon, we divide 162 by this conversion factor. This would be 162/5 = 32.4lb. So, a 162 lb person on Earth would weigh about 32.4lb on the Moon.
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Final answer:
A person's weight on the Moon is about one-fifth (or 0.2 times) of their weight on Earth.
Therefore, a person who weighs 162 lb on Earth would weigh about 32.4 lb on the Moon.
Explanation:
The question states that a person's weight on the Moon, denoted as W, varies directly with their weight on Earth, denoted as E. This suggests a relationship between the Moon's weight and the Earth's weight that can be formulated as a ratio or a fraction with the Moon's weight on the numerator and Earth's weight on the denominator.
From the question, we know that a person who weighs 141lb on Earth weighs 28.2lb on the Moon. Therefore, the weight ratio (W/E) equals to 28.2lb / 141lb = 0.2.
So, if we want to find the weight of somebody who weighs 162-lb on Earth once they're on the Moon, we would apply the same weight ratio.
This tells us that a 162-lb person on Earth would weigh 0.2 * 162lb = 32.4lb on the Moon.
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