You and your bicycle have combined mass 80.0 kg. When you reach the base of a bridge, you are travelling along the road at 7.50 m/s. At the top of the bridge, you have climbed a vertical distance of 5.20 m and have slowed to 3.00 m/s. Ignore work done by friction and any inefficiency in the bike or your legs. Part A
What is the total work done on you and your bicycle when you go from the base to the top of the bridge?

Part B
How much work have you done with the force you apply to the pedals?

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?