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A point charge Q is located a distance r>R from the center of a nongrounded conducting spherical shell with radius R and net charge that is also Q. If the point charge is very far from the shell, then the shell looks essentially like a point charge Q, so the force between the two objects is repulsive. But if the point charge is very close to the shell, the the excess negative charge on the near side of the shell dominates, so the force is attractive.
Show that the value of r where the force makes the transition from repulsive to attractive is r= <[R(1+5?)/2?(1.618)R]]> . The factor here is the golden ratio. (In your solution, don't panic if you end up with a quintic equation. Just show that it has a factor of the form x^2-x-1.)
A ball of mass 0.120 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.600 m. What impulse was given to the ball by the floor
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A point charge is outside of a spherical surface and no charge is enclosed by that surface, What is the flux through the entire closed surface
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The heat of vaporization of ethyl alcohol is about 200 cal/g. If 2.8kg of it were allowed to vaporize in the refrigerator, how many grams of ice would be formed from 0 °C water.
Suppose that a particle accelerator is used to move two beams of particles in opposite directions. In a particular region, electrons move to the right at 7130 m/s, what is the magnitude of the average current in this region
A railroad train is traveling at 30 m/s. The locomotive whistle emits a loud tone at frequency 440 Hz. what is the frequency of the sound heard by a stationary listener in front of the locomotive
The electric field between the plates of a parallel plate capacitor is horizontal, uniform, and has a magnitude of 3.5*10^4 N/C. What is the angle made by the thread with the vertical axis
q1. the coefficient of static friction between the coin and the disk is 0.50. find out the linear speed of coin while
A copper wire has a square cross section 2.5 mm on a side. The wire is 3.2 m long and carries a current of 4.6 A. Find the magnitude of the current density in the wire
Iron atoms have been detected in the sun's atmosphere, some withmany of their electrons stripped away. What is the net electriccharge (in coulombs) of an iron atom with 26 protons and 10electrons?
Compute the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.10 m above the ground.
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