Q1. A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=1 to x=1. The trough is full of water. Find out the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.
Q2. 0.245 kg skeet (clay target) is fired at an angle of 33degrees to the horizon with a speed of 24.4 m/s. When it reaches the highest height, h, it is hit from below by the 15 m g pellet travelling vertically upward at a speed of 188m/s. The pellet is embedded in the skeet. How much extra distance, ?x, does the skeet travel because of the collision?