6.4 (A): Work

Math 72 [Calculus 2]

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1. [-/1 Points] DETAILS SCALCET9 6.XP.4.002. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER How much work is done when a hoist lifts a 200-kg rock to a height of 7 m? (Use 9.8 m/s for the acceleration due to gravity.) Need Help? Read It Submit Answer 2. [-/1 Points] DETAILS SCALCET9 6.4.005. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Shown is the graph of a force function (in newtons) that increases to its maximum value and then remains constant. F (N) 32 24 16 x (m) 4 8 12 16 20 24 28 32 -8 How much work W is done (in ]) by the force in moving an object a distance of 32 m? W = Need Help? Read It Watch It Submit Answer3. [-/1 Points] DETAILS SCALCET9 6.4.006. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. X 10 12 14 16 18 f(x) 5 5.7 5.8 8. 9.8 8.2 6.8 5.0 4.3 Use the midpoint rule with n = 4 to estimate the work W (in ]) done by the force in moving an object from x = 2 to x = 18. W = Need Help? Read It Submit Answer 4. [-/1 Points] DETAILS SCALCET9 6.4.010. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If the work required to stretch a spring 3 ft beyond its natural length is 6 ft-lb, how much work (in ft-lb) is needed to stretch it 18 in. beyond its natural length? ft-lb Need Help? Read It Submit Answer 5. [-/1 Points] DETAILS SCALCET9 6.XP.4.005. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A spring has a natural length of 18 cm. If a 23 N force is required to keep it stretched to a length of 30 cm, how much work W (in ]) is required to stretch it from 18 cm to 24 cm? (Round your answer to two decimal places.) W = Need Help? Read It Submit