The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position vectors r, = (i + 3j) m, r, = (xi + 5j) m and rz = (-i+ j) m respectively. Given that this system of forces is equivalent to a couple of magnitude 12 N m, find (a) the values of the scalars a and b, (b) the possible values of the scalar x.

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.