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According to Einstein's special theory of relativity, the mass of a moving particle, $m_{\text {moving }},$ is related to its mass at rest, $m_{\text {rest }},$ by the following equation $m_{\text {moving }}=\frac{m_{\text {rest }}}{\sqrt{1-\left(\frac{u}{c}\right)^{2}}}$,where $u$ and $c$ are the speeds of the particle and light, respectively. (a) In particle accelerators, protons, electrons, and other charged particles are often accelerated to speeds close to the speed of light. Calculate the wavelength (in $\mathrm{nm}$ ) of a proton moving at50.0 percent the speed of light. The mass of a proton is $1.673 \times 10^{-27} \mathrm{kg} .$ (b) Calculate the mass of a 6.0 $\times 10^{-2} \mathrm{kg}$ tennis ball moving at $63 \mathrm{m} / \mathrm{s} .$ Comment on your results.

therefore $B-$\[ m_{\text {moving}}=\frac{m_{\text {rest}}}{\sqrt{1-\left(\frac{u}{c}\right)^{2}}}\] we replace the values in the equation\[m_{\text {moving}}=\frac{6.0 \times 10^{-2} \mathrm{Kg}}{\sqrt{1-\left(\frac{63 \mathrm{m}}{\left.3.00 \times 10^{5} \frac{\mathrm{m}}{3}\right)^{2}}\right.}}=6.0 \times 10^{-2} \mathrm{Kg}\]

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Carleton College

University of Central Florida

University of Maryland - University College

University of Toronto

Lectures

04:49

In chemistry and physics, electronic structure is the way the electrons of an atom are arranged in relationship to the nucleus. It is determined by the subshells the electrons are bound to, which are in turn determined by the principal quantum number ("n") and azimuthal quantum number ("l"). The electrons within an atom are attracted to the protons in the nucleus of that atom. The number of electrons bound to the nucleus is equal to the number of protons in the nucleus, which is called the atomic number ("Z"). The electrons are attracted to the nucleus by this mutual attraction and are bound to the nucleus. The electrons within an atom are attracted to each other and this attraction determines the electron configuration. The electron configuration is described by the term symbol, which is the letter used to identify each subshell.

16:45

In physics, the wave–particle duality is the concept that every object or process, no matter how large or how small, behaves as both a wave and a particle. The wave–particle duality is one of the central concepts in quantum mechanics.

04:29

According to Einstein'…

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Two protons (each with res…

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The electron-volt, $\mathr…

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Mass of a Moving Particle …

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What is the de Broglie wav…

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Okay. Question 1 47 And the question they give us the the equation according unsanitary must move in equal. Must read over one of a squadron of one minor. You speak up, spit up the object of a cease and square. So far Proton, we got 32. We can substitute the massive proton and the spit off the proton suite of the proton. They say in the half spit apply. That's why I put qualifier here. Tom Fall. Sit up light and we can call a mass moving equal 1.93 Tom telling today 27 this that value a little rated on the mass Right off the move off. The potential weaken laws are moving equal, modern, regular and breast and lambda after we know mask moving and we know spit off the proton, we can substitute in tow. The Prodi, the probably Wayland Mom, the about moving here because we have to understand here, that's a lambda mass moving equal over and youth. And we just have todo the moving mosque and that land Constand a spit off the object so we can fight from the equal. 2.29 time 10 year 30 50 Mita and seeming away We go for B for tennis phone we just something to do that. And after we called like we see and moving off the tennis ball ICO and rest before the proton and moving red and I'm dressed this problem, we just happy Duda.

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