Macioccujx
2022-07-24
Answered

Two planes leave from Atlanta, Georgia. One makes a 5.2-hr flight to Seattle, Washington, and the other makes a 2.5-hr flight to Boston, Massachusetts. The plane to Boston averages 44 mph slower than the plane to Seattle. If the total distance traveled by both planes is 3124 mi, determine the average speed of each plane.

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Kendrick Jacobs

Answered 2022-07-25
Author has **16** answers

speed of plane to seattle be x

speed of plane to boston = x- 44

distance = speed * time

3124 = x * 5.2 + ( x-44) * 2.5

3124 = 5.2 x + 2.5 x - 110

3014 = 7.7 x

x = 391.428 mi/hr

speed of plane to seattle = 391.428 mi/hr

speed of plane to boston = x-44 = 347.428 mi/hr

speed of plane to boston = x- 44

distance = speed * time

3124 = x * 5.2 + ( x-44) * 2.5

3124 = 5.2 x + 2.5 x - 110

3014 = 7.7 x

x = 391.428 mi/hr

speed of plane to seattle = 391.428 mi/hr

speed of plane to boston = x-44 = 347.428 mi/hr

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Since this displacement law is completely derived from Planck's law, it bit frustrated me. I'm a bit confused. Is it the limit of the displacement law or my flaw?

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Actually I was learning about Wien's displacement law. It states that

$\lambda T=2.898\times {10}^{-3}mK$

This is actually a part of Planck's law where the Planck's constant originated.

Now Planck's temperature is given as

${T}_{p}=\sqrt{\frac{h{c}^{5}}{2\pi G{k}_{b}^{2}}}=1.416\times {10}^{32}K$

Now Planck's length is $1.616\times {10}^{-35}m$

Now since the smallest possible wavelength is Planck's length, we can say wavelength of the electromagnetic radiation is Planck's length (Assume the energy doesn't create a black hole).

Now according to Wien's displacement law,

${l}_{p}T=2.898\times {10}^{-3}mK$

Now solving this we get $1.79\times {10}^{32}K$, which is higher than the actual Planck's temperature.

Since this displacement law is completely derived from Planck's law, it bit frustrated me. I'm a bit confused. Is it the limit of the displacement law or my flaw?

Please rectify this.

(Sorry if I made any mistake. I'm new to this one. Please explain my mistake. I'm glad to hear that.)

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