1. A 0.267 kg ball is thrown straight up from 1.81 m above the ground. Its initial vertical speed is 8.00 m/s. A short time later, it hits the ground. Calculate the total work done by the force of gravity during that time. I know that I will probably need to use the PEg=KE formula, but I am very lost as to how to set this problem up and any help would be appreciated. __ 2.A car (m = 600.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a height, h = 33.0 m. Find the average power the engine must deliver to reach a speed of 20.5 m/s at the top of the hill in 18.3 s(NEGLECT frictional losses: air and rolling, ...) W=KEf-KEi W=1/2mv^2-1/2mv^2 W=1/2(600)(205)-0 mgh=600(9.8)(33) W=6150+194040 W=200190/18.3 W=10939.34 I feel like I'm very close to solving this problem but something didn't turn out right.. ____ 3. A 96.0 kg diver falls from rest into a swimming pool from a height of 3.70 m. It takes 1.54 s for the diver to stop after entering the water. Find the magnitude of the average force exerted on the diver during that time. I am pretty sure I should start out with PEg=KE but am not sure where to go from there. Help on any of these problems would be VERY MUCH appreciated! Thanks guys and this seems like a great physics forum.