In this case, what affects the range (horizontal displacement) of the projectile?
In a physics experiment, we were asked to drop a marble into a tube shaped like this: \__ (<--sorry, i know it's lame but i cant think of any other way to illustrate this. :P) The tube was at a certain height and we were asked to record how far the marble will drop from the end of the tube. The question was "What experimental factors affected the range of the projectile? Why?" The height of the tube is h1 As the marble rolls through the tube, its potential energy is converted to kinetic energy. Potential energy = mass * 9.8 * h1 Kinetic energy = ½ * mass * velocity^2 Decrease in PE = increase in KE Mass * 9.8 * h1 = ½ * mass * v^2 Mass cancels 9.8 * h1 = ½ * v^2 v^2 = 19.6 * h1 v = (19.6 * h1)^0.5 The marble rolls out of the tube with a horizontal velocity = (19.6 * h1)^0.5 m/s Let’s assume that the tube is sitting on the edge of a table that is h2 meters tall. Next, the marble free falls from the top of the table to the floor. As the marble free falls h2 meters, its Potential energy i
