The weight of an object on the moon. varies directly as the weight of the objects on Earth. A 90-pound object on Earth weighs 15 pounds on the moon. If an object weighs 156 pounds on Earth, how much does it weigh on the moon?

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The weight of an object on the moon. varies directly as the weight of the objects on Earth. A 90-pound object on Earth weighs 15 pounds on the moon. If an object weighs 156 pounds on Earth, how much does it weigh on the moon?

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Answer 1 · 2018-03-15T09:03:47

26 pounds

Explanation:

The weight of the first object on the Earth is 90 pounds but on the moon, it is 15 pounds. This gives us a ratio between the relative gravitational field strengths of the Earth and the moon,

$\frac{W_{M}}{W_{E}}$ $W_M/(W_E)$

Which yields the ratio
$(\frac{15}{90}) = (\frac{1}{6}) \approx 0.167$ $(15/90)= (1/6) approx 0.167$

In other words, your weight on the moon is $\frac{1}{6}$ $1/6$ of what it is on Earth.

Thus we multiply the mass of the heavier object (algebraically) like this:

$(\frac{1}{6}) = \frac{x}{156}$ $(1/6)=(x)/(156)$ ( $x$ $x$ =mass on the moon)
$x = (156) \times (\frac{1}{6})$ $x=(156) times (1/6)$

$x = 26$ $x=26$

So the weight of the object on the moon is 26 pounds.

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The weight of an object on the moon. varies directly as the weight of the objects on Earth. A 90-pound object on Earth weighs 15 pounds on the moon. If an object weighs 156 pounds on Earth, how much does it weigh on the moon?

1 Answer

Explanation:

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