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The electron beam emerging from a certain high-energy electron accelerator has a circular cross section of radius 1.45 mm.
(a) The beam current is 8.55 µA. Find the current density in the beam assuming it is uniform throughout.
(b) The speed of the electrons is so close to the speed of light that their speed can be taken as 300 Mm/s with negligible error. Find the electron density in the beam.
(c) Over what time interval does Avogadro's number of electrons emerge from the accelerator?
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A baseball (mass 0.14 kg, radius 3.7 cm) is spinning with an angular velocity of 45 rad/s. If the baseball has a linear speed of 38 m/s, what is the ratio of its rotational and translational kinetic energies?
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A 497-turn solenoid has a radius of 8.75 mm and an overall length of 12.4 cm. If the solenoid is connected in series with a 2.50-? resistor and a battery, what is the time constant of the circuit
A 15.0 kg box is released on a 30 degree incline and accelerates down the incline at 0.30 m/s squared. Find the frictional force impeding its motion
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