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91 lines
2.0 KiB
Markdown
91 lines
2.0 KiB
Markdown
---
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id: 68c1a929005bf54d342aa8d6
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title: "Challenge 59: Space Week Day 5: Goldilocks Zone"
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challengeType: 29
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dashedName: challenge-59
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---
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# --description--
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For the fifth day of Space Week, you will calculate the "Goldilocks zone" of a star - the region around a star where conditions are "just right" for liquid water to exist.
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Given the mass of a star, return an array with the start and end distances of its Goldilocks Zone in Astronomical Units.
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To calculate the Goldilocks Zone:
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1. Find the luminosity of the star by raising its mass to the power of 3.5.
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2. The start of the zone is 0.95 times the square root of its luminosity.
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3. The end of the zone is 1.37 times the square root of its luminosity.
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- Return the distances rounded to two decimal places.
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For example, given `1` as a mass, return `[0.95, 1.37]`.
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# --hints--
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`goldilocks_zone(1)` should return `[0.95, 1.37]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(goldilocks_zone(1), [0.95, 1.37])`)
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}})
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```
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`goldilocks_zone(0.5)` should return `[0.28, 0.41]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(goldilocks_zone(0.5), [0.28, 0.41])`)
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}})
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```
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`goldilocks_zone(6)` should return `[21.85, 31.51]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(goldilocks_zone(6), [21.85, 31.51])`)
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}})
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```
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`goldilocks_zone(3.7)` should return `[9.38, 13.52]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(goldilocks_zone(3.7), [9.38, 13.52])`)
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}})
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```
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`goldilocks_zone(20)` should return `[179.69, 259.13]`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(goldilocks_zone(20), [179.69, 259.13])`)
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}})
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```
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# --seed--
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## --seed-contents--
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```py
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def goldilocks_zone(mass):
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return mass
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```
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# --solutions--
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```py
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import math
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def goldilocks_zone(mass):
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luminosity = mass ** 3.5
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start = 0.95 * math.sqrt(luminosity)
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end = 1.37 * math.sqrt(luminosity)
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return [round(start, 2), round(end, 2)]
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```
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