The rate at which a planet receives heat from a hot sphere such as sun varies directly with the fourth power of the sun's absolute tempature, directly with the surface area of the Sun, and inversely with the square of the distance from the Sun to the planet. A) Write a general equation for the rare at which a planet receives heat (h) in terms of absolute temperature (T), surface area (A), and distance (d)

Question

Mathematics

Layla Lloyd

13 November, 08:28

The rate at which a planet receives heat from a hot sphere such as sun varies directly with the fourth power of the sun's absolute tempature, directly with the surface area of the Sun, and inversely with the square of the distance from the Sun to the planet. A) Write a general equation for the rare at which a planet receives heat (h) in terms of absolute temperature (T), surface area (A), and distance (d)

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Answers (1)

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Sage Ortiz · Answer 1

Answer: h = kAT^4/d²

Step-by-step explanation:

When two variables vary directly and increase or decrease in one variable causes a corresponding increase or decrease in the other variable. When they vary inversely, an increase in one variable causes a decrease in the other variable and vice versa

The rate at which a planet receives heat (h), varies directly with the fourth power of the sun's absolute temperature (T), directly with the surface area of the Sun (A), and inversely with the square of the distance from the Sun to the planet (d). By introducing a constant, k, the general equation would be

h = kAT^4/d²