1. A small block, with a mass of 1.5 kg, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop and then onto the final level section on the right. It then collides with a spring which momentarily brings the block to a stop. The maximum height of the incline is 2.5 m, the radius of the loop is 0.9 m and the spring constant is 90 N/m. a) Find the initial potential energy of the block. b) Find the velocity of the block at the top of the loop. c) Find the velocity of the block after it goes around the loop, on the flat section of the path. d) How much will the block compress the spring before momentarily coming to a stop? 2.5 mg PE = mgh OE - 1,5 (1.) (2.5) - 36.16 A 36.75

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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.