A 10-kg mass is attached to a spring having a spring constant 140 N/m. The mass is started in motion from the equilibrium position with an initial velocity of 1m/sec in the upward direction and with an applied external force of f(t) =20cost (in Newtons). The mass is in a viscous medium with a coefficient of resistance equal to 90 N – sec/m. a) Predict what will happen after a long time. Sketch the graph of the motion.

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.