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find the rest energy in J for the following parts
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- 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?Please explain in detail An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time. (a) How long does it take the train to pass P as he stands on the platform, as measured by his watch? (b) According to a rider T on the train, how long is the train? (c) According to a rider T on the train, what is the length of the train station platform?An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a relative speed of 0.960c before it decays (becomes another particle). (a) What is the proper lifetime of the particle? (b) What is the distance the particle travels as measured from its rest frame?
- At relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. effects precede causes in some inertial frames. lengths and times only appear different and have no effect on other measurable quantities.Einstein concluded that the speed of light is the same in all inertial frames. Prove that the analysis of the Michelson-Morley experiment (see attached image) is in error.A stationary observer O is standing on a platform of length 65 meters on earth. A rocket passes at a velocity of – 0.80c, parallel to the edge of the platform. The observer O notes that at a particular instant the front and back of the rocket simultaneously line up with the ends of the platform. (a) According to O, what is the time necessary for the whole rocket to pass a particular point on the platform? c = 3 × 10% m/s. (b) What is the rest length of the rocket according to an observer O' on the rocket? (c) According to O', what is the length of the platform? 65 m 0.8c O' Figure 2: Problem 4.
- Find the rest energy, in terajoules, of a 19.9 g piece of chocolate. 1 TJ is equal to 10'2 J. rest energy: TJAt relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. O an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. lengths and times only appear different, they are really just the same. O effects precede causes in some inertial frames.A particle of some unknown rest mass mx, moving at +0.8c Ây relative to a stationary laboratory, collides head-on with another particle of rest mass m,, moving at – 0.6c âx relative to the same stationary lab frame. After the collision, the two particles stick together and stay stationary. (a) What is m, in terms of m,? (b) What is the mass of the final stationary object in terms of m,? (c) What is the change in kinetic energy in this collision, in terms of m,c²? 0bc 0,8C