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-23. The weight of an object on the moon varies direotly with the object's weight on earth. If an astronaut who weighs 150 pounds on earth weighs 25 pounds on the moon, what is the weight on the moon of an astronaut who weighs 180 pounds on earth?

Ask by Allan Vargas. in the United States
Mar 12,2025

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The weight on the moon of an astronaut who weighs 180 pounds on Earth is 30 pounds.

Solución

We are given that the weight on the moon varies directly with the weight on Earth. This means we can express the relationship as \[ m = k \cdot e \] where \( m \) is the weight on the moon, \( e \) is the weight on Earth, and \( k \) is the constant of proportionality. 1. First, we use the information of the astronaut who weighs 150 pounds on Earth and 25 pounds on the moon to find \( k \): \[ 25 = k \cdot 150 \] Solving for \( k \): \[ k = \frac{25}{150} = \frac{1}{6} \] 2. With the constant \( k = \frac{1}{6} \), we can now find the moon weight for an astronaut weighing 180 pounds on Earth: \[ m = \frac{1}{6} \cdot 180 = 30 \] Thus, the weight on the moon of an astronaut who weighs 180 pounds on Earth is \(\boxed{30}\) pounds.

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To determine the weight of an astronaut on the moon based on their weight on Earth, we can find the ratio of weight on the moon to weight on Earth for the initial astronaut. From the given information, a 150-pound astronaut weighs 25 pounds on the moon. The ratio is 25/150 = 1/6. Now applying this ratio to the astronaut who weighs 180 pounds on Earth: 180 pounds * (1/6) = 30 pounds. Therefore, the astronaut who weighs 180 pounds on Earth would weigh 30 pounds on the moon. --- To make the concept more engaging, let’s imagine chilling on the moon's surface! Since the moon's gravity is about 1/6th that of Earth, anything you weigh here would evoke a gasp if you tried to lift it on a lunar stroll. Just think, if you’re 180 pounds, you’d be skipping around like a featherweight at only 30 pounds. Who’s ready for some low-gravity sports? And if you think moon weight is fascinating, consider how it changes with different celestial bodies! For instance, if you were to visit Mars, you'd weigh even less than on the moon due to differing gravitational forces. Space travel will surely be a real-life science project waiting to unfold!

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