The force F (in pounds) required to push a sofa across a floor varies directly as the weight w (in pounds) of the sofa. Complete parts (a) through (c) below. a. A person can push a 80-pound sofa across a carpeted floor by pushing with a force of 50 pounds. Find an equation that describes the relationship between w and F
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F is directly proportional to work.
F=kW, where k is proportionality constant.
When F=80 and w=50, from above equation we get k=1.6
So the relation becomes
F=1.6w or F=(8/5)w or 5F=8w
F=kW, where k is proportionality constant.
When F=80 and w=50, from above equation we get k=1.6
So the relation becomes
F=1.6w or F=(8/5)w or 5F=8w
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