A mass-spring system is initially compressed towards a wall and hold in equilibrium with the help of a force F . At time t=0 sec, the force F is suddenly released. The mass- spring system then reaches a velocity v while sliding on the frictionless surface. (a) What is the work done by the wall on the mass-spring system as the force F is released? (b) Is the energy of the mass-spring system conserved? Why? (c) Calculate the v in terms of k,m and F . (d) Is the linear momentum conserved? (e) Calculate the average force exerted by the wall on the mass-spring system after the force F is released, assuming that the spring remains in contact with the wall for a short time At . Express your answer in terms of k,m,At and F| . before t-o after t = ww WWH m

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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.