PROBLEMS

[list=1][*]What is the meaning of the word [i]relativity[/i] in physics?[/*][*]Can objects travel faster than light under any circumstances?[/*][*]Is it possible to travel in the rest frame of light?[/*][*]What is strange about relativistic velocity addition?[/*][*]Is mass conservation a law of nature?[/*][*]In the equation [math]E=mc^2[/math] are we to understand this as a mass in motion through space at speed [math]c[/math]?[/*][*]Which is more massive: A hot tub of water or the same tub cooled?[/*][*]Rocket A travels at 0.9c in the +x direction with respect to reference frame O, while rocket B heads toward it at 0.8c in the -x direction as measured in the same reference frame. What velocity does rocket B have as measured by A?[/*][*]In the question above, rocket A shines a laser at rocket B. What velocity does B measure for the incoming laser beam?[/*][*]How fast must you travel if you wish to travel to a star that is [math]10c\cdot yr[/math] away from earth, and arrive in one day on your own watch?[/*][*]How long would your family back on earth have to wait for the news of your successful arrival in the previous problem? You send news in Morse-code laser pulses. [/*][*]A train travels at a speed large enough that it is 1% shorter as observed from alongside the tracks. How fast is it traveling?[/*][*]What happens to the train's width and height in the previous problem?[/*][*]Show how a muon can arrive at the ground after traveling a proper distance of 100 km if the muon's proper lifetime is only 2.2 micro-seconds. Do this both by length contraction and time dilation.[/*][*]Two identical particles traveling with opposite velocities collide inelastically and form a single particle. What must their speeds be if the new particle is twice as massive as the sum of the former particles?[/*][*]What momentum is required of an electron in order for its total energy to be 10x its rest energy?[/*][*]What is the momentum of a red photon of wavelength 600nm? [/*][*]How many photons per second (from the previous problem) would have to reflect off of a surface in order for it to be pushed by an average force of a nano-newton? Recall that [math]\vec{F}=\frac{d\vec{p}}{dt}[/math].[/*][/list]

Información: PROBLEMS