$ABC Menu * $ Digital Technology - IT Hel X ) Service Portal - GE Appliar X > Home | myLU x Lu Quiz: Overview of Calculus X X HW: H16 Work and Average X Lu Article Review: Future of C X webassign.net/web/Student/Assignment-Responses/submit?dep=31500190&tags=autosave#question3805508_2 3. [0/0.66 Points] DETAILS PREVIOUS ANSWERS SCALCET8 6.4.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE If the work required to stretch a spring 1 ft beyond its natural length is 9 ft-lb, how much work is needed to stretch it 6 in. beyond its natural length? * ft- lb Enhanced Feedback Please 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. Start 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 to 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. Submit Answer 4. [-/0.66 Points] DETAILS SCALCET8 6.4.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in ]) is required to raise one end of the chain to a height of 4 m? (Use 9.8 m/s for g.) 5. [-/0.66 Points] DETAILS SCALCET8 6.4.020. MY NOTES 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 1b/fts. Round your answer to the nearest integer.) ft - lb MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/0.66 Points] DETAILS SCALCET8 6.5.001. Find the average value faye of the function f on the given interval. f(x) = 3x2+ 8x, [-1, 4] fave =