Physics, 14.05.2021 02:00 johnthevarietyboy200

How might the reversal of Earth's magnetic poles affect life on Earth? Make sure to consider the role that the magnetic poles play in daily life and the importance of activities such as navigation.

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Answer from: Quest

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Answer from: Quest

This is actually a calculus question. so, basically, this is a related rates question where you are given 1 quantity and you have to find the other. we'll define some variables first.x = 9 ftdx/dt = 7 ft/secl = 15 ftsince you want to find the area, you have to find a formula for it. which is: $a = \frac{1}{2}x*h$ we know the base (x), but we don't know the height (h). we can figure it out by solving for it. we have to form an equation which we can figure out height from given the information we have. this equation is: $x^2+h^2=l^2$ plug in known values: $9^2+h^2=15^2$ solve for h: $h^2 = 15^2-9^2$ $h^2=144$ $h = \sqrt{144}=12$ now, let's solve for the rate at which h is changing. we can do so by differentiating the pythagorean theorem (above). let's do that: $x^2+h^2=15$ $2x \frac{dx}{dt}+2h \frac{dh}{dt}=0$ $\frac{dh}{dt} = \frac{-2x \frac{dx}{dt} }{2h}$ $\frac{dh}{dt} = \frac{-x \frac{dx}{dt} }{h}$ plug in values: $\frac{dh}{dt} = \frac{-9*7}{12} = \frac{-63}{12} = \frac{-21}{4}$ now we have all the given information to do this problem. so, to figure out the rate of change of area, we can differentiate (with respect to time) the earlier equation: $\frac{d}{dt}(a) = \frac{d}{dt} (\frac{1}{2}x*h)$ which is equal to: $\frac{da}{dt}= \frac{1}{2}( \frac{dx}{dt}h+x \frac{dh}{dt})$ plug in known values: $\frac{da}{dt} = \frac{1}{2}(7*12+9* \frac{-21}{4} ) = \frac{1}{2}(84- \frac{189}{4} )$ $\frac{1}{2}( \frac{147}{4}) = \frac{147}{8}$ so, the area of the triangle is changing at approximately 18.375ft²/sechope this all makes sense. if it doesn't, either contact me, or watch khan academy - he explains it real well. special credit to turtaniumx and quietself for letting me know of the error, and fix it!

Answer from: Quest

That it's known as destructive interference.

Answer from: Quest

Question is unclear.found on internet original question: "what should isla write in the areas marked a, b, and c? x-rays, both, radio waves)a: has a longer wavelengthb: travels at the same speedc: has a higher frequencyanswers: a) has a longer wavelength --> radio waves. in fact, radio waves have wavelength in the range of the meters, while x-rays have wavelengths of a few nanometers.b) travel at the same speed --> both. both radio waves and x-rays are electromagnetic waves, which travel (in vacuum) at the speed of light, c.c) has a higher frequency --> x-rays. in fact, the shorter the wavelength, the higher the frequency. since radio waves have longer wavelength, they have lower frequency, while x-rays frequencies are higher.

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