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1. Assume the half-life of the proton is 1033 y. How many decays per year would you expect in a tank of water containing 350,000 liters of water? Assume the bound protons can decay.
2. CERN constructed the ?rst proton-proton collider, called the Intersecting Storage Rings (ISR), in 1971. Each proton beam had a kinetic energy of 31 GeV. Calculate how much energy a ?xed-target accelerator would need to have the same energy available in the center-of-mass energy.
3. Calculate the speed of the 7.0-TeV protons that are produced in the LHC at CERN.
4. A cyclotron is used to accelerate protons to 70 MeV. If these protons are elastically scattered from deuterons (2H) and tritons (3H), what are the maximum ener- gies of the 2H and 3H?
5. Calculate the minimum kinetic energy of a proton to be scattered from a ?xed proton target to produce an antiproton.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
Question: Field and force with three charges? What is the electric field at the location of Q1, due to Q 2 ?
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