Discussion Is energy conserved throughout this experiment? If not, what forms of work are not accounted for in your analysis? Is the work-kinetic energy theorem ever violated? Be sure to include uncertainty estimates when deciding whether there is or is not a significant difference between values.Ĭopyright © 2011 Advanced Instructional Systems, Inc. Let a light spring of unstretched length lo having spring constant K, is fixed at one end on the vertical wall and kept. The energy of a spring is elastic potential energy. Also compare the maximum kinetic energy of the ball with its maximum gravitational potential energy. How much work is done on the stopper by the force applied by the string during 25.0 seconds. According to the manufacturer, the piston mass = 55.6 ± 0.5 g, and the mass of the spring = 58 ± 1 g (but as can be shown using calculus, you should use 1/3 of this value as the effective mass of the spring that is moving for computing its kinetic energy). How can you find the work done in stretching. Analysis Calculate and compare the elastic potential energy with the kinetic energy of the ball and all the moving parts of the launcher. You must have done work to compress or stretch the spring, since you applied a force and caused a displacement. Find the mass of the ball and calculate its maximum kinetic energy for each of the three launch positions. Kinetic energy Find the speed of the ball as it leaves the launcher using the procedures in the lab on Projectile Motion. With practice, you should be able to obtain height measurements with less than 5% variation. By what percent has the cubic term increased the work over what would be needed to compress an ideal spring Hint: Let the spring lie along the s. Setting the potential reference level of zero at the unstretched point of the spring (x0), Work done by gravity: W mgx. Calculate the average height and its uncertainty based on the variation in height measurements. Others on the forum have pointed out that to bring the spring to equilibrium, the work done by gravity is twice as great as that of the spring, as worked out below. Use this procedure to obtain at least five measurements for each launch position (short and medium range). Answer (1 of 2): Work is defined as the product of applied force and the distance through which the force acts: Work (force)(distance) W(F)(x) If the force is constant, then the graph of force versus distance will be a rectangle and the area under the rectangle the work done. 5 Once the observer is ready, launch the ball and record the maximum height.
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