Removing a Slump A farmer wishes to remove a stump from a field by pulling it out with his tractor. Having removed many stumps before, he estimates that he will need 6 tons (12,000 pounds) of force to remove the stump. However, his tractor is only capable of pulling with a force of 7000 pounds, so he asks his neighbor to help. His neighbor’s tractor can pull with a force of 5500 pounds. They attach the two tractors to the stump with a angle between the forces, as shown in the figure.
(a) Assuming the farmer's estimate of a needed 6-ton force is correct, will the farmer be successful in removing the stump? Explain.
(b) Had the farmer arranged the tractors with a angle between the forces, would he have been successful in removing the stump? Explain.
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
- A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force pulling on 1 square inch of the cross-sectional area. Round the answer to the nearest pound.arrow_forwardThe distance that a spring will stretch varies directly as the force applied to the spring. A force of 60 pounds needed to stretch a spring 6 inches. What force is required to stretch the spring 21 inches? A -pound force is required to stretch the spring 21 inches.arrow_forwardA force of 6 pounds compresses a 4-inch spring 14 inches. How much work is done in compressing the spring from a length of 5 inches to a length of 10 inches?arrow_forward
- A moving sidewalk in an airport moves people between gates. It takes Jason’s 9-year-old daughter Josie 40 sec to travel 200 ft walking with the sidewalk. It takes her 30 sec to walk 90 ft against the moving sidewalk (in the opposite direction). Find the speed of the sidewalk and find Josie’s speed walking on non-moving ground.arrow_forwardYou are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid mixture, which dissolved into the water perfectly. However, now that you want to swim, you must remove all of the Kool-Aid contaminated water. The swimming pool is round, with a 9 foot radius. It is 10.5 feet tall and has 6.5 feet of water in it.How much work is required to remove all of the water by pumping it over the side? Answer: (Use the physical definition of work, and the fact that the weight of the Kool-Aid contaminated water is σ=65.5lbs/ft3 )arrow_forwardYou are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved perfectly into the water. However, now that you want to swim, you must remove all of the Kool-Aid contaminated water. The swimming pool is round, with a 18.5 foot radius. It is 5 feet tall and has 3.5 feet of water in it. How much work is required to remove all of the water by pumping it over the side? Use the physical definition of work, and the fact that the density of the Kool-Aid contaminated water is o = 65.7lbs/ft° Don't forget to enter the correct units. (You may enter Ibf or Ib*ft for ft-lb.)arrow_forward
- A 100 foot long cable weighs 50 pounds and hangs off the end of a 400 foot tall building. If the cable is being used to hold a 150 pound window washer, find the work done in pulling up the cable to lift the window washer 40 feet up the side of the building. Note: be sure to include the work to lift both the cable and the window washer.arrow_forwardUse the weight of the rocket to answer each question. (Use 4000 miles as the radius of Earth and do not consider the effect of air resistance.) (a) How much work is required to propel the rocket an unlimited distance away from Earth’s surface? (b) How far has the rocket traveled when half of the total work has occurred? 5-metric-ton rocketarrow_forward- Math Ms. Ramirez's X Launch Meeting-Zoom R STAR Math Star Math Enterprise X -go.com/universalweb/authorizationoidc?sid%3D7aa340a7-4fb6-4e0e-8680-5e0d57dfe439#/Getltem Jennifer Melgar Frank wants to put up a fence around his square garden. The garden measures 4 feet on each side. How much fencing material does he need? 12 feet 20 feet 8 feet 16 feetarrow_forward
- You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved perfectly into the water. However, now that you want to swim, you must remove all of the Kool-Aid contaminated water. The swimming pool is round, with a 10.5 foot radius. It is 8 feet tall and has 5 feet of water in it. How much work is required to remove all of the water by pumping it over the side? Use the physical definition of work, and the fact that the density of the Kool-Aid contaminated water is ?=64lbs/ft^3arrow_forwardA cold store contains 28 tonnes of apples. During the first week, the owners remove 320 kg of apples from the store. In each subsequent week, they remove from the store 50 kg of apples more than they removed the previous week. Work out the weight of apples left in the store after 26 weeks. (1 tonne = 1000 kg.)arrow_forwardReba says that if she takes a block of modeling clay and makes different shapes with it, the surface area always remains the same regardless of the shape she makes. How do you respond?arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell