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The proper mean lifetime of subnuclear particles called pions is 2.6 × 10 ^-8 seconds. A beam of pions has a speed of 0.72 c in a laboratory.
The speed of light is 2.998 × 10 ^8 m/s.
In the reference frame of the pion, how far does the pion travel in a typical lifetime of 2.6 × 10^ -8 seconds? Answer in units of m.
What is this distance in the laboratory's frame? Answer in units of m.
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.
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