(x₁ = -0.100 m), the spring A child's pogo stick (figure below) stores energy in a spring (k =2.30 x 10 N/m). At position compression is a maximum and the child is momentarily at rest. At position ® (x = 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. Assume that the combined mass of child and pogo stick is 28.0 kg. (a) Calculate the total energy of the system if both potential energies are zero at x = 0. 87.56 J (b) Determine x₂. 0.319 m (c) Calculate the speed of the child at x = 0. 2.5 m/s (d) Determine the value of x for which the kinetic energy of the system is a maximum. mm (e) Obtain the child's maximum upward speed. 7m/s
(x₁ = -0.100 m), the spring A child's pogo stick (figure below) stores energy in a spring (k =2.30 x 10 N/m). At position compression is a maximum and the child is momentarily at rest. At position ® (x = 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. Assume that the combined mass of child and pogo stick is 28.0 kg. (a) Calculate the total energy of the system if both potential energies are zero at x = 0. 87.56 J (b) Determine x₂. 0.319 m (c) Calculate the speed of the child at x = 0. 2.5 m/s (d) Determine the value of x for which the kinetic energy of the system is a maximum. mm (e) Obtain the child's maximum upward speed. 7m/s
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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VIEWStep 2: Define kinetic energy and Newton's second law of motion.
VIEWStep 3: Calculation for value of x for which kinetic energy is maximum.
VIEWStep 4: Define kinetic energy, potential energy and elastic potential energy at x=-11.93 mm
VIEWStep 5: Calculation for the person's maximum upward speed.
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