Which statements are true? (1) The laws of motion are the same in all inertial frames of reference. (2) The laws of motion are the same in all reference frames. (3) Time measured by an experimenter using a clock in the same inertial frame is proper time Only (1) is correct All (1), (2), and (3) are correct Only (2) and (3) are correct Only (1) and (3) are correct Only (1) and (2) are correct
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A: Solution
Q: The starship Enterprise leaves a distant earth colony, which is nearly at rest with respect to the…
A: t = t/v(1-v∧2/c∧2) 2.82 -1.02 =1.02/v(1-v∧2/c∧2) 1.8= 1.02/(1-v∧2/c∧2) (1-v∧2/c∧2) = 0.56 squaring…
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A: 2.29×10-4 s
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- The period of a pendulum attached in a spaceship is 2 swhile the spaceship is parked on Earth. What is the periodto an observer on Earth when the spaceship moves at 0.6cwith respect to the Earth?(a) Less than 2 s.(b) More than 2 s.(c) 2 s.Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.82c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) 1)how many meters does it travel as observed on the earth? 2)how many meters is this in muon's frame?a) How fast must an object travel for its total energy to be 1% more than its rest energy? b) How fast must an object travel for its total energy to be 99% more than its rest energy?
- A clock is placed in a satellite orbits the Earth with a period of 117 minutes. a) By what time interval will this clock differ from an identical clock on Earth after 2 years? b) If the two clocks differ by 2 s, how much time will have passed on Earth? (Assume special relativity applies, and neglect general relativity.)The starship Enterprise leaves a distant earth colony, which is nearly at rest with respect to the earth. The ship travels at nearly constant velocity toward earth. When the Enterprise reaches earth 1.10 y has elapsed, as measured on the ship. Clocks in the earth's reference frame show that the voyage lasted 2.73 y. How far from earth is the colony, as measured in the reference frame of the earth?(b) How far from earth is the colony, as measured in the reference frame of the ship?A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
- Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?(a) A person's "resting" heart rate is his or her normal heart rate measured while sitting still (and long after doing anything physically exerting). A nurse on Earth measures the resting heart rate of a patient as 62.0 beats/min. Imagine the patient travels aboard a spacecraft moving with a constant speed of 0.89c with respect to the Earth. What would be the patient's resting heart rate (in beats/min) as measured by someone else aboard the spacecraft? beats/min (b) Imagine an observer on Earth could measure the resting heart rate of the patient traveling aboard the spacecraft. What rate (in beats/min) would the observer on Earth measure? beats/minA proton and anti-proton with rest energy of, E0 - 931 MEV/C“ was traveling in opposite direction at a speed of, V = 0.9995*C (where C is a speed of light equal to 3.0 * 108 m/s). After travelling in a vacuum chamber, the two particles collide head on to produce a new massive particle in the center of the chamber What is the new kinetic energy the proton and anti-proton in Giga electron Volt, after reaching the new speed? OK
- The cosmic rays of highest energy are protons that have kinetic energy on the order of 1013 MeV. (a) From the point of view of the proton, how many kilometers across is the galaxy? (b) How long would it take a proton of this energy to travel across the Milky Way galaxy, having a diameter ~ 105 light-years, as measured in the proton’s frame?(a) A person's "resting" heart rate is his or her normal heart rate measured while sitting still (and long after doing anything physically exerting). A nurse on Earth measures the resting heart rate of a patient as 76.0 beats/min. Imagine the patient travels aboard a space vessel moving with a constant speed of 0.97c with respect to the Earth. What would be the patient's resting heart rate (in beats/min) as measured by someone else aboard the vessel? (b) Imagine an observer on Earth could measure the resting heart rate of the patient traveling aboard the space vessel. What rate (in beats/min) would the observer on Earth measure?A meterstick moving at 0.900c relative to the Earth’s surface approaches an observer at rest with respect to the Earth’s surface. (a) What is the meterstick’s length as measured by the observer? (b) Qualitatively, how would the answer to part (a) change if the observer started running toward the meterstick?