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Q1. In a science fiction story, a microscopic black hole is given the enormous positive charge by firing an un-neutralized ion drive exhaust (consisting of positively charged xenon ions) into it for six months. The idea behind the charging process is to be able to confine and manipulate this dangerous object with powerful electric fields. Assume the charge on black hole is 5740 C. At what distance from it is the electric potential equal to 1100 V? (-28.02 is a wrong answer.)
Q2. An observer moving toward Earth with a speed of 0.97 notices that it takes 5min for a person to fill her car with gas. Presume, in its place, that the observer had been moving away from Earth with a speed of 0.80c. How much time would the observer have measured for car to be filled in this case?
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Standing at a crosswalk, you hear a frequency of 520 Hz from the siren of an approaching police car. After the police car passes, observed frequency of the siren is 455 Hz. Establish the car's speeds from these observations.
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