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.
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
- 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.
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fromChapter 17 / Lesson 11
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.