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bezimeni [28]
3 years ago
10

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

  16

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

  1/(1/4)² = 16

You would weigh 16 times as much.

_____

<em>Additional comment</em>

The distribution of mass within the earth also affects your weight.

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3 years ago
A vineyard has 145 acres of Chardonnay grapes. A particular soil supplement requires 5.50 grams for every square meter of vineya
SashulF [63]

3230 kilograms of the soil supplement are required for the entire vineyard

<h3>Further explanation</h3>

Some units that need to be recalled are as follows :

<em>1 km = 1000 m = 10³ m</em>

<em>1 km² = 1000000 m² = 10⁶ m</em>

<em>1 km² = 247 acres</em>

<em>1 kg = 1000 g</em>

Let's tackle the problem now!

A vineyard has 145 acres of Chardonnay grapes.

145 ~ acres = \frac{145}{247} \times 1 ~ km^2

145 ~ acres = \frac{145}{247} ~ km^2

\boxed {145 ~ acres \approx 0.587 ~ km^2}

A particular soil supplement requires 5.50 grams for every square meter of vineyard.

1 ~ m^2 \rightarrow 5.50 ~ gram

1 ~ km^2 = 10^6 ~ m^2 \rightarrow 5.50 \times 10^6 ~ gram

1 ~ km^2 \rightarrow 5.50 \times 10^6 \times 10^{-3} ~ kg

\boxed {1 ~ km^2 \rightarrow 5.50 \times 10^3 ~ kg}

145 ~ acres = \frac{145}{247} ~ km^2 \rightarrow \frac{145}{247} \times 5.50 \times 10^3 ~ kg

145 ~ acres \rightarrow \frac{797500}{247} ~ kg

145 ~ acres \rightarrow 3230 ~ kg

<h2>Conclusion :</h2>

It required 797500/247 kg ≈ 3230 kg of the soil supplement for the entire vineyard

<h3>Learn more</h3>
  • Conversion Factor of Speed : brainly.com/question/11224343
  • The Distance of the Cheetah  : brainly.com/question/7171227
  • The Speed of The Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic

Keywords: Addition , Subtraction , Multiplication , Division , Number , Expression , Time , Duration , Write

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Eduardwww [97]
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