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: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 11PQ: CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth...
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