A closed system has many quantities that don't change. The position of the center of mass moves at a constant speed in a straight line - which means that there is a reference frame where the center of mass does not change. Sometimes this is a very good way to examine a process. The total energy doesn't change, it just transfers between the objects in the system. The total momentum doesn't change, it just transfers between objects in a system. This situation investigates these properties. (0) Initial Position (1) Expansion Process (Spring - Friction) (1) Launch Position (mm) Stopping Process (Friction) (2) Final Position X'em In this problem, you will find how far two objects will separate after they are forced by a spring to move away from each other by the expansion of a spring. The process is to first compress the spring sufficiently that it will fully expand afterwards, adding energy to the system, then after letting go, the spring will expand in a second process that gives kinetic energy to the blocks. But, for the blocks to stop, the blocks rubbing against the surface they slide along must create friction, which steals energy not only after the blocks detach from the spring and move on their own, but also when the spring is expanding. So this will also have to be accounted for. In particular, the block on the left side has a mass of 140 g and block on the right side has a mass of 415 g. The spring has a stiffness of 60 kg/s and is compressed by 22 cm from its equilibrium length is38 cm. As the blocks move along the surface of a table, they frictional force has a coefficient of kinetic friction of 0.61.(a) What is the distance between the two blocks? (b) What is the position of the lefthand block? (c) What is the position of the righthand block? During the expansion, each of the blocks rubs against the surface of the table, causing friction. That friction removes energy from the system. Before we go on, you should calculate how much work friction draws from the system To nd the loss due to friction, you need to find the friction and the distance over which it draws energy from the system for each of the blocks. Start with the left blockt (d) How far does the lefthand block travel as the spring expands? (f) How much work does friction do on the block in this process? WI = E Move to the right block. (9) How far does the lefthand block travel as the spring expands? (j) How much energy does the system lose over the process? Ah