A force of 6 N will stretch a rubber band 6 cm (0.06 m). Assuming that Hooke's law applies, how far will a 10-N force stretch the rubber band? How much work does it take to stretch the rubber band this far? How far will a 10-N force stretch the rubber band? m (Simplify your answer.) Set up the integral that gives the work required, in joules. How much work does it take to stretch the rubber band given a 10-N force?
The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.4 lb/ft3 . a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (10/11)-horsepower (hp) motor (work output 500 ft - lb/sec ), how long will it take to empty the tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 15ft (halfway) during the first 49 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.26lb/ft3? 62.62lb/ft3? a. Set up an integral to find the work done. Note that the positive y direction measures distance below the ground in this problem. How much work does it take to empty the tank? ft - lb b. How long will it take to empty the tank? minutes (Round to the nearest minute as needed.) c. How much work does it take to lower the water level halfway? ft - lb It will take the pump minutes of pumping. (Round to the nearest minute as needed.) d. In a location where water weighs 62.26lb/ft3 , it will take ft - lb of work to empty the tank, and it will take minutes to empty the tank. In a location where water weighs 62.62lb/ft3 , it will take ft - lb of work to empty the tank, and it will take minutes to empty the tank.
The conical tank shown here is filled with olive oil weighing 47 lb/ft3. How much work does it take to pump all of the oil to the rim of the tank?
A vertical right circular cylindrical tank measures 36 ft high and 18 ft in diameter. It is full of liquid weighing 64.4 lb/ft3 . How much work does it take to pump the liquid to the level of the top of the tank? The amount of work required is ft-lb. (Round to the nearest whole number as needed.)
A player hit a serve in a racket sport that was clocked at 123mph. How much work did he have to do on the 2-0z ball to get it to that speed? W = ft-lb (Do not round until the final answer. Then round to two decimal places as needed.)