I am not sure how to do this problem. 13Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 4.5 cm beyond its equilibrium positionbefore separation occurs. What is the speed of the cork as it is released from the spring in this case? vextra =5.895 m/sHint:Hint:Hint:Hint: A cork gun contains a spring whose spring constant is 13 N/m. The spring is compressed by a distance AX = 9.1 cm and usedto propel from the gun a cork of mass 4.68 g. Assuming the cork is released when the spring passes through its equilibriumposition Xeg, What is the speed of the cork as it is released from the spring?ХеqAX+v =4.796 m/s

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Description: I am not sure how to do this problem. 13Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 4.5 cm beyond its equilibrium positionbefore separation occurs. What is the speed of the cork as it is released from the

The extra velocity is 4.169 m/s

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13 Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 4.5 cm beyond its equilibrium position before separation occurs. What is the speed of the cork as it is released from the spring in this case? Vextra = 5.895 m/s Hint: Hint: Hint: Hint:

13 Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 4.5 cm beyond its equilibrium position before separation occurs. What is the speed of the cork as it is released from the spring in this case? Vextra = 5.895 m/s Hint: Hint: Hint: Hint:

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

Chapter6: Energy Of A System

Section6.4: Work Done By A Varying Force

Problem 6.4QQ

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A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring 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. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (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 childs maximum upward speed. Figure P7.69
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True or False: The elastic potential energy of a stretched or compressed spring is always positive.
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