14. [No.66 Points] DETAILS PREVIOUS ANSWERS SCALCETS 6.5.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The linear density p in a rod 7 m long is 9/\/ x + 9 kg/m, where x is measured in meters from one end of the rod. Find the average density pave of the rod. Need Help? Submit Answer 3. [0/056 Points] PREVIOUS ANSWERS SCALCETB 6.4.010. ASK YOUR TEACHER PRACTICE ANOTHER If the work required to stretch a spring 3 ft beyond its natural length is 15 ftlb, how much work is needed to stretch it 18 in. beyond its natural length? -_?$__ff:li3 ________________________________________________________________________________________________________________________________________________________________________________________ EEnhanced Feedback EPlease try again. Recall Hooke's Law: The force required to maintain a spring stretched x units beyond its natural length is proportional to x. So f(x) = kx, where k is the spring constant. 3 EStart by setting up the integral for the work required to stretch the spring a given distance beyond its natural length for the case where work is given. Use this integral to find k, and use k Eto find the amount of work needed to stretch the spring the given distance beyond its natural length for the case where work is unknown. Pay attention to units. 1 PREVIOUS ANSWERS SCALCETB 6.4.016. ASK YOUR TEACHER PRACTICE ANOTHER A chain lying on the ground is 10 m long and its mass is 90 kg. How much work (in J) is required to raise one end of the chain to a height of 6 m? (Use 9.8 m/s2 for g.) 4. [0/0.66 Points] [5,292 ] X J 5. [0/0.66 Points] PREVIOUS ANSWERS SCALCET8 6.4.020. ASK YOUR TEACHER PRACTICE ANOTHER A circular swimming pool has a diameter of 16 ft, the sides are 6 ft high, and the depth of the water is 5 ft. How much work (in ft-lb) is required to pump all of the water out over the side? (Use the fact that water weighs 62.5 lb/ft3. Round your answer to the nearest integer.)