The diagram shows a design for the first two hills of a roller coaster. Consider at first that it is frictionless. a) Find the speed at point A. hi=50 m b) Find the speed at point B. h2 = 5 m Vh3 = 20 m c) Alas, a real rollercoaster will have friction acting on it. This force of friction would be quite complicated but we will make a very handy simplification. Assume that the force of friction is a constant value of 300 N, regardless of the occupants of the cars, the angle of incline of the track or the coaster's acceleration. The mass of the cars is 1000 kg. Find the more realistic velocity of the car at point B, where B is a total length of 150 m along the track. Hint: consider the work done by friction, which goes to heat after.

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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.