An archer must exert a force of 340 N on the bowstring shown in Figure (a) such that the string makes an angle of ? = 30.5° with the vertical.Two diagrams show a bow oriented vertically, with the midpoint of the bowstring pulled to the right. In both diagrams, the top half of the bowstring starts at the top limb and extends down and to the right to the midpoint of the string, and makes an acute angle of ? with the vertical. The bottom half of the string appears to make the same angle with the vertical.In the first diagram, a force arrow points from the midpoint of the string to the right.In the second diagram, the left end of a horizontal spring with spring constant k is attached to the midpoint of the string. The right end of the spring is attached to a vertical wall.(a) Determine the tension in the bowstring. N(b) If the applied force is replaced by a stretched spring as in Figure (b) and the spring is stretched 28.5 cm from its unstretched length, what is the spring constant? N/m

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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An archer must exert a force of 340 N on the bowstring shown in Figure (a) such that the string makes an angle of ? = 30.5° with the vertical.

Two diagrams show a bow oriented vertically, with the midpoint of the bowstring pulled to the right. In both diagrams, the top half of the bowstring starts at the top limb and extends down and to the right to the midpoint of the string, and makes an acute angle of ? with the vertical. The bottom half of the string appears to make the same angle with the vertical.

In the first diagram, a force arrow points from the midpoint of the string to the right.
In the second diagram, the left end of a horizontal spring with spring constant k is attached to the midpoint of the string. The right end of the spring is attached to a vertical wall.

(a) Determine the tension in the bowstring.
N

(b) If the applied force is replaced by a stretched spring as in Figure (b) and the spring is stretched 28.5 cm from its unstretched length, what is the spring constant?
N/m

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