Kinetic energy KE (Chapter 5) has dimensions kgm2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m as KE = p2/2m (a) Determine the proper units for momentum (p) using dimensional analysis. (b) Refer to Problem 2. Given the units of force, write a simple equation relating a constant force F exerted on an object, an interval of time t during which the force is applied, and the resulting momentum of the object, p.

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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.