The spring in the toy gun has an unstretched length of 100 mm. It is compressed and locked in the...

Question:

The spring in the toy gun has an unstretched length of 100 mm. It is compressed and locked in the position shown. In this position, the spring is exerting a force of 100 N on the ball. When the trigger is pulled, the spring unstretches 12.5 mm, and the 30-g ball moves along the barrel.

Determine the initial acceleration of the ball the moment the trigger is pulled. Neglect friction.

Spring-Mass System:

We consider a body with mass M is attached to a spring with spring constant k. Let a force F acts on the body make the spring compress by x.

So the restoring force in the spring is F = k.x.

Answer and Explanation: 1

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Given:

  • Unstretched length of the spring is L = 100 mm.
  • Length of the spring after compression is l = 50 mm.
  • Mass of the ball is m = 30 g =0.03 kg.
  • Sp...

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Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.


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