Asteel cable is used to support an elevator cage at the bottom of a 2000-ft-deep mineshaft. a uniform normal strain of 290.0 in./in. is produced in the cable by the weight of the cage. at each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. assume d = 2000 ft and d = 300 ft. if the total normal strain in the cable at the cable drum (upper end of the cable) is 500 in./in., determine (a) the strain in the cable at a depth of 300 ft. (b) the total elongation of the cable.

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?