A Spring Gun. A hydraulic press is used to compress a spring that will then be used to project a 28.0-kg steel ball. The system is similar, but smaller in scale, to the car jack illustrated in Figure 11.14. In this case, the smaller cylinder has a diameter of dy-0.90 cm and has a manually operated plunger. The larger cylinder has a diameter of d₂ 11.5 cm, and its piston compresses the spring. The idea is that the gun operator pulls a lever that pushes the plunger on the small cylinder, which transmits a pressure to the larger piston that, in turn, exerts a force on the spring and compresses it. Once the spring is compressed, the steel ball is loaded and the spring is released, ejecting the ball. (a) If a force of 950 N is exerted on the primary (smaller) piston to compress the spring 1.40 m from its equilibrium (uncompressed) position, what is the spring constant k of the spring? (b) What is the velocity of the steel ball just after it is ejected? (c) Neglecting air resistance, what is the maximum range of this "spring gun"?

A Spring Gun. A hydraulic press is used to compress a spring that will then be used to project a 28.0-kg steel ball. The system is similar, but smaller in scale, to the car jack illustrated in Figure 11.14. In this case, the smaller cylinder has a diameter of dy-0.90 cm and has a manually operated plunger. The larger cylinder has a diameter of d₂ 11.5 cm, and its piston compresses the spring. The idea is that the gun operator pulls a lever that pushes the plunger on the small cylinder, which transmits a pressure to the larger piston that, in turn, exerts a force on the spring and compresses it. Once the spring is compressed, the steel ball is loaded and the spring is released, ejecting the ball. (a) If a force of 950 N is exerted on the primary (smaller) piston to compress the spring 1.40 m from its equilibrium (uncompressed) position, what is the spring constant k of the spring? (b) What is the velocity of the steel ball just after it is ejected? (c) Neglecting air resistance, what is the maximum range of this "spring gun"?

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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