A Spring Gun. A hydraulic press is used to compress a spring that will then be used to project a 24.0-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 d, = 0.75 cm and has a manually operated plunger. The larger cylinder has a diameter of dy = 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 1000 N is exerted on the primary (smaller) piston to compress the spring 1.15 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) Number Units (b) Number i Units (c) Number UnitsA Spring Gun. A hydraulic press is used to compress a spring that will then be used to project a 24.0-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 d, = 0.75 cm and has a manually operated plunger. The larger cylinder has a diameter of dy = 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 1000 N is exerted on the primary (smaller) piston to compress the spring 1.15 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) Number Units (b) Number i Units (c) Number Units