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An archer must exert a force of 480 N on a bowstring such that the string makes an angle of 36.5...

Question:

An archer must exert a force of 480 N on a bowstring such that the string makes an angle of 36.5 degrees with the vertical.

(a) Determine the tension in the bowstring.

(b) If the applied force is replaced by a stretched spring and the spring is stretched 29.0 cm from its unstretched length, what is the spring constant?

Hooke's Law:

Hooke's law states that the spring force (applied by the spring) is directly proportional to the negative of the extension/compression. Mathematically, the spring force is expressed as:

{eq}F_{s} = - k x {/eq}

Where:

  • {eq}k {/eq} is the spring constant.
  • {eq}x {/eq} is the extension/cmpression in the spring from its equilibrium position.

Answer and Explanation:

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Identify the given information in the problem:

  • The force exerted on a bowstring is {eq}F = 480 \, \rm N {/eq}
  • Angle made by the spring with the...

See full answer below.


Learn more about this topic:

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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