A cube has a density of while at rest in the laboratory. What is the cube’s density as measured by an experimenter in the laboratory as the cube moves through the laboratory at of the speed of light in a direction perpendicular to one of its faces?
We have given that, a cube has a density of .
The cube moves through the laboratory at of the speed of light in a direction perpendicular to one of its faces.
At rest, the cube has a density of . That is, a cube with dimensions of has a mass of . The cube's dimension in the direction of motion is contracted as the cube moves at a speed of :
Because the other dimensions are unaffected, the new density is:
Therefore, Cubes density is .
Firecrackers A and B are apart. You are standing exactly halfway between them. Your lab partner is on the other side of firecracker A. You see two flashes of light, from the two explosions, at exactly the same instant of time. Define event 1 to be “firecracker A explodes” and event 2 to be “firecracker B explodes.” According to your lab partner, based on measurements he or she makes, does event 1 occur before, after, or at the same time as event 2? Explain
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