In the school cafeteria, a trouble-making child blows a 10.0 g spitball through a 30.0 cm straw. The force (F) in Newtons, of his breath as a function of the distance along the straw (x) in me-ters, can be modeled as a linearly decreasing function. The force decreases by half along the entire length of the straw. Assume there is negligible friction and the straw is held horizontally.
(a) Sketch a plot of the force of his breath as a function of position along the straw, labeling the force at x = 0 as F0.
(b) If the spitball begins from rest and leaves the straw with a speed of 15 m/s, how much work is done on the spitball.
(c) What was the maximum force on the spitball?