Answered: A child’s pogo stick (Fig. P8.56)…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 69P: A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m....

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A child’s pogo stick (Fig. P8.56) stores energy in a spring with a force constant of 2.50 x 10⁴ N/m. At position width= (x_A= - 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position width= (x_B = 0), the spring is relaxed and the child is moving upward. At position ©, the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. (a) Calculate the total energy of the child–stick–Earth system if both gravitational and elastic potential energies are zero for x = 0. (b) Determine x_C. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the child’s maximum upward speed.

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