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In a particle accelerator, you accelerate an electron. Afterwards, you measure it's energy to be 350 keV. Tell my why you can't find the speed from this energy using your knowledge of classical mechanics.

In order to see what the problem is, I will attempt to find this speed. 350keV=5.61 10 -14 J E k =1/2 * m v 2 => v=sqrt(2E k /m) By plugging in numbers, we find that the velocity of the electron, v=3.51 1...
CP
Answered by Cezar P. • Physics tutor
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Find the integrating factor of the following first order ODE: dx/dt = -2tx +t.

Firstly rearrange the differential equation to fit the form dx/dt +P(t)x = Q(t). The integrating factor is then found by using the formula: u = EXP(INTG(P(t))). We know that P(t) = 2t and so by integrating w...
AT
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Using your knowledge of complex numbers, such as De Moivre's and Euler's formulae, verify the trigonometric identities for the double angle.

de Moivre's: (cos(x)+isin(x)) n =cos(nx)+isin(nx) set n=2 (cos(x)+isin(x)) 2 =cos 2 (x)+2isin(x)cos(x)-sin 2 (x), which, according to de Moivre's cos 2 (x)+2isin(x)cos(x)-sin 2 (x)=cos(2x)+isin(2x) We notice...
CP
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What is the mathematical relationship between the frequencies of musical notes that we perceive identical, but at different octaves?

Humans have a logarithmic perception of the majority of uncountable and some countable things. A 0 , which is percieved as the basic note, has a frequency of 27.50 Hz. A 1 =55 Hz, and A 2 =110 Hz. You might ...
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Answered by Cezar P. • Physics tutor
3976 Views

Discuss the role of women in Hamlet.

Despite it being frequently argued that the women in Hamlet are “drawn in fainter lines than their male counterparts,” it appears that upon closer inspection their roles are much more integral to the play an...
IA
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