Two manned satellites approaching one another at a relative speed of 0.250 m/s intend to dock. The first has a mass of 2.00 ✕ 10^3 kg, and the second a mass of 7.50 ✕ 10^3 kg. Assume that the positive direction is directed from the second satellite towards the first satellite. (a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest. Answer in m/s (b) What is the loss of kinetic energy in this inelastic collision? Answer in J (c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity Answer in m/s loss of kinetic energy Answer in J

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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.