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Answer :
Final answer:
An astronaut that weighs 135 pounds on Earth would weigh 22.5 pounds on the moon, as the force of gravity on the moon is roughly 1/6 of that on Earth.
Explanation:
The weight of a person on the moon is directly proportional to their weight on Earth. This is due to the difference in the force of gravity between the two celestial bodies. On Earth, the astronaut weighs 210 pounds and 35 pounds on the moon, so their weight on the moon is roughly 1/6 of their weight on Earth.
Following this proportion, an astronaut who weighs 135 pounds on Earth would weigh 1/6 of that weight on the moon. So, to find her weight on the moon, you simply multiply 135 pounds by 1/6 to get her moon weight. This will give you: 135 pounds * 1/6 = 22.5 pounds. Therefore, an astronaut who weighs 135 pounds on Earth would weigh 22.5 pounds on the moon.
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Final answer:
An astronaut who weighs 135 pounds on Earth would weigh approximately 22.5 pounds on the moon. This calculation is based on the principle that a person's weight on the moon is directly proportional to their weight on Earth.
Explanation:
Applying the Concept of Direct Proportion
In a direct proportion, the ratio between two quantities remains constant. In this case, a person's weight on the moon varies directly with his or her weight on Earth. This means that the ratio between a person's weight on the moon and their Earth-weight is a constant.
As it given, an astronaut weighs 210 pounds on Earth and 35 pounds on the moon, therefore, the constant of proportionality (k) will be 35 / 210 = 0.167.
So, if another astronaut weighs 135 pounds on Earth, we can use the ratio to calculate the corresponding weight on the moon using the formula: Weight on the Moon = k * Weight on Earth. Plugging in the known values, Weight on the Moon = 0.167 * 135 = Approximately 22.5 pounds.
Thus, an astronaut who weighs 135 pounds on Earth would weigh approximately 22.5 pounds on the moon.
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