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1.When someone moves, time slows down for him. Let, a man standing still and another moving very fast, this happens for an hour (as measured by the standing man). Time has moved slower for the moving man than for the still man. The fast has got less aged than the still. I’ve heard that length shortens for a thing when it moves. The faster it moves, the length shortens more. I’m eager to know that; when a man is moving very fast while reading a book, will he comprehend the book’s items faster than when he stands still while reading this same book? (I’ve thought neurons get smaller and impulses travelling lesser.)
2.Find the speed of a particle whose relativistic kinetic energy is 50% greater than the Newtonian value for the same speed.
3.Show that, for any object moving at less than one-tenth the speed of light, the relativistic kinetic energy agrees with the result of the classical equation K = ?1 mu2 to within less than 1%. Thus for most purposes, the classical equation is good enough to describe these objects, whose motion we call non-relativistic.
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4.Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106 km/s by using
(a) The classical equation K = ?1 mu2
(b) the relativistic equation.
5. Determine the ratio of the relativistic kinetic energy to the non relativistic kinetic energy (1/2mv2) when a particle has a speed of
(a) 1.66 Af— 10-3c and
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