35. Special Relativity
Special Vs. Galilean Relativity
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- Multiple ChoiceJill can throw a ball at a speed of 80 mph, consistently, on the ground. She gets into the back of a truck, which drives down the road in the direction at 30 mph. Jill faces the back of the truck and throws a ball. According to Galilean relativity, what is the component of the velocity of the ball relative to the ground?311views
- Multiple ChoiceSam is cruising in his spaceship moving at . Suzy is directly in front of Sam and is at rest. Suzy flashes her headlights at Sam, hoping he will slow down. According to Sam, how fast is the light from Suzy's headlights moving as it approaches him?356views
- Multiple ChoiceOlive the astronaut is flying her spaceship back home to earth at . Her spaceship has lights on it; one at the front of her ship, and one at the back of the ship. Olive notes that the two lights flash simultaneously. Are they simultaneous according to an Earth-based observer? If not, which one blinked first?320views
- Textbook Question
(II) At what speed do the relativistic formulas for (a) length and (b) time intervals differ from classical values by 1.00%? (This is a reasonable way to estimate when to use relativistic calculations rather than classical.)
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(II) Reference frame S' moves at speed v = 0.88c in the +x direction with respect to reference frame S. The origins of S and S' overlap at t = t' = 0. An object is stationary in S' at position x' = 100m . What is the position of the object in S when the clock in S reads 1.00 μs according to the (a) Galilean and (b) Lorentz transformation equations?
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(II) Two identical particles of mass m approach each other at equal and opposite speeds, v . The collision is completely inelastic and results in a single particle at rest. What is the mass of the new particle? How much energy was lost in the collision? How much kinetic energy was lost in this collision?
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(II) How much energy can be obtained from conversion of 1.0 gram of mass? How much mass could this energy raise to a height of 1.0 km above the Earth’s surface?
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