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Determine the following:

1			Amount of energy released by this decay Need a Hint?
2			Where the released energy goes Need a Hint?
3			Magnitude of the momentum of the muon Need a Hint?
4			Magnitude of the momentum of the muon antineutrino Need a Hint?
5			Kinetic energy of the nonrelativistic muon Need a Hint?
6			Kinetic energy of the relativistic muon antineutrino Need a Hint?

A muon (mass 0.106 GeV/c²) at rest decays into a relativistic electron (mass 0.0005 GeV/c²), a muon neutrino and an electron antineutrino (both of negligible mass) as follows:

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7			Amount of energy released by this decay Need a Hint?
8			Where the released energy goes Need a Hint?
9			Kinetic energy of the electron Need a Hint?
10			Momentum of the electron Need a Hint?

A neutral pion (mass 0.135 GeV/c²) at rest decays by means of electromagnetic interaction into two photons as follows:

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Determine the following:

11			Energy of each photon Need a Hint?
12			Momentum of each photon Need a Hint?
13			The de Broglie wavelength of each photon Need a Hint?

A proton (mass 0.938 GeV/c²) and an antiproton at rest annihilate into two pions (mass 0.140 GeV/c² each) as follows:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070524076/58013/ch30_image4.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>

14			Amount of energy released by this decay Need a Hint?
15			Kinetic energy of each pion Need a Hint?
16			Momentum of each pion Need a Hint?
17			The de Broglie wavelength associated with each pion Need a Hint?

A proton in the Tevatron is to reach an energy of 3.00 TeV in 1.00 x 10⁶ revolutions around the ring of radius 1.00 x 10³ m.

18			The electrical potential difference through which it must be accelerated during each revolution Need a Hint?
19			The total distance traveled by the proton Need a Hint?

During an experiment at the LHC, 7 TeV protons travel in a circle of 3.14 km circumference.

20			Energy (relativistic) of the protons Need a Hint?
21			Momentum of the protons Need a Hint?
22			Magnetic field strength required for the LHC Need a Hint?
23			Magnetic force experienced by the protons Need a Hint?
24			Central force experienced by the protons Need a Hint?