SOLVE ALL THE PROBLEMS WITH SOLUTIONS. PLEASE BE CLEAR IN HADWRITING WITH THE SOLUTION

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Potentially Useful Information W = F - Ax = (F cos 0)Ax 2xr GM T= g= .2 V KE = -my2 2 At GM V= W = AKE r = rf W AE Er =la 1 = Emr= = mri + marz- 2+ ...+ mm P = - F = m At At L = mvr mix +m,x,+ ...+mix, XOM APE = mgAh 0 = TAI = AL m, +m, + ...+m p = mv PE + KE, = PE, + KE, A0 = 0, - 0; GMm G=6.67x 10" N-m /kg EF = AP F= At J = FAI = Ap At1. A person on an edge of a roof throws a 1-kg ball downward from 20 meters above the ground. It strikes the ground with 250 J of kinetic energy. What was the initial velocity of the ball? (Hint: Use the principle of Conservation of Energy). 2. Suppose you are on a Ferris wheel at a carnival, seated 15 m from the Ferris wheel's axis. If you make a complete rotation each minute, what is your tangential velocity? 3. What is the gravitational attraction between 2 bowling balls, both with a mass of 20-kg, that are 2 meters apart? 4. How much power is expended when a force of 3000 N moves a barge in the river a distance of 100 m in 150 seconds? 5. Two identical gliders slide toward each other on an air track. One moves at 4 m/s and the other moves at 6 m/s. They collide and stick together. At what velocity does their combined mass move