A paintball game instrument company wants to test the speed of the paintball coming out of the muzzle of their newly designed gun. They want to test by firing the ball horizontally from very close on a plastic block sitting on a flat surface and measuring the distance, d, through which the paintball and the block system slides before coming to the rest. The paintball sticks to the block after collision. The kinetic friction coefficient of the surface and the plastic is listed as u. Derive an equation of the speed of the ball in terms of u, d and any other relevant parameters. Assume mass of the ball is m1 and that of the block is m2. Here are some steps to guide you through the process. a. sketch the situation and write the principle of conservation equation for the collision. Solve this equation for the speed of the ball before collision in terms of the speed of the block and ball system after collision. b. Use energy concept to find the speed of the ball and the block system right after the collision. Draw all the relevant sketches. c. Combine equations from part a and b to obtain the required equation.
A paintball game instrument company wants to test the speed of the paintball coming out of the muzzle of their newly designed gun. They want to test by firing the ball horizontally from very close on a plastic block sitting on a flat surface and measuring the distance, d, through which the paintball and the block system slides before coming to the rest. The paintball sticks to the block after collision. The kinetic friction coefficient of the surface and the plastic is listed as u. Derive an equation of the speed of the ball in terms of u, d and any other relevant parameters. Assume mass of the ball is m1 and that of the block is m2. Here are some steps to guide you through the process.
a. sketch the situation and write the principle of conservation equation for the collision. Solve this equation for the speed of the ball before collision in terms of the speed of the block and ball system after
collision.
b. Use energy concept to find the speed of the ball and the block system right after the collision. Draw all the relevant sketches.
c. Combine equations from part a and b to obtain the required equation.
Please answer all parts. Thanks
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