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5. In a simple model of a bow and arrow, the force required to draw the arrow through a distance x is not linear like in Hooke's law. It contains constants a and b and is of the form: F(x) = ax + bx². 1 ft 2 ft a. Determine the constants a and b if it takes a force of 15 pounds to draw the arrow a distance of one foot and 60 pounds to draw it two feet. F = 0 F = 15 lbs F = 60 lbs a b. Find the work W required to draw the arrow the total two feet. Work = c. At what velocity v does a 0.04 pound arrow leave the bow? Assume the bow string is mass-less, and you can use the facts that mg formula: W 0.04 pounds, g = 32.2 ft/s and the conservation of energy mv². U 3=

5. In a simple model of a bow and arrow, the force required to draw the arrow through a distance x is not linear like in Hooke's law. It contains constants a and b and is of the form: F(x) = ax + bx². 1 ft 2 ft a. Determine the constants a and b if it takes a force of 15 pounds to draw the arrow a distance of one foot and 60 pounds to draw it two feet. F = 0 F = 15 lbs F = 60 lbs a b. Find the work W required to draw the arrow the total two feet. Work = c. At what velocity v does a 0.04 pound arrow leave the bow? Assume the bow string is mass-less, and you can use the facts that mg formula: W 0.04 pounds, g = 32.2 ft/s and the conservation of energy mv². U 3=

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: The Laws Of Motion
Section: Chapter Questions
Problem 5.53P: Review. A rifle bullet with a mass of 12.0 g traveling toward the right at 260 m/s strikes a large...
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5. In a simple model of a bow and arrow, the force required to draw the arrow through a distance x is not linear like in Hooke's law. It contains constants a and b and is of the form: F(x) = ax + bx². 1 ft 2 ft a. Determine the constants a and b if it takes a force of 15 pounds to draw the arrow a distance of one foot and 60 pounds to draw it two feet. F = 0 F = 15 lbs F = 60 lbs a b. Find the work W required to draw the arrow the total two feet. Work = c. At what velocity v does a 0.04 pound arrow leave the bow? Assume the bow string is mass-less, and you can use the facts that mg formula: W 0.04 pounds, g = 32.2 ft/s and the conservation of energy mv². U 3=
Transcribed Image Text:5. In a simple model of a bow and arrow, the force required to draw the arrow through a distance x is not linear like in Hooke's law. It contains constants a and b and is of the form: F(x) = ax + bx². 1 ft 2 ft a. Determine the constants a and b if it takes a force of 15 pounds to draw the arrow a distance of one foot and 60 pounds to draw it two feet. F = 0 F = 15 lbs F = 60 lbs a b. Find the work W required to draw the arrow the total two feet. Work = c. At what velocity v does a 0.04 pound arrow leave the bow? Assume the bow string is mass-less, and you can use the facts that mg formula: W 0.04 pounds, g = 32.2 ft/s and the conservation of energy mv². U 3=
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