Dr. Nelson is at is again with Clem. She devises a toy for Clem to play with while she is at work teaching her students. The toy is a mouse-shaped block of mass m, oscillating on a spring with spring constant k. The block slides on a frictionless horizontal surface. m -A 0 +A The block has a mass of m= 100 g, and oscillates with a period of T = 0.50s. The spring is compressed so the block is released from rest at x = -10.0 cm. The block then oscillated back and forth between locations x = -10.0 cm and x = +10.0cm. a. Calculate k, the spring constant b. Write the equation for position as a function of time in the form x (t) = Acos(@t+ Po). Note you will need to find A, w, and do explicitly. c. At what x position does the block move with the greatest speed? Calculate the speed at this position. d. If the mass is doubled to 200 g, how long will it take the mass-spring system to complete one full oscillation?

Dr. Nelson is at is again with Clem. She devises a toy for Clem to play with while she is at work teaching her students. The toy is a mouse-shaped block of mass m, oscillating on a spring with spring constant k. The block slides on a frictionless horizontal surface. m -A 0 +A The block has a mass of m= 100 g, and oscillates with a period of T = 0.50s. The spring is compressed so the block is released from rest at x = -10.0 cm. The block then oscillated back and forth between locations x = -10.0 cm and x = +10.0cm. a. Calculate k, the spring constant b. Write the equation for position as a function of time in the form x (t) = Acos(@t+ Po). Note you will need to find A, w, and do explicitly. c. At what x position does the block move with the greatest speed? Calculate the speed at this position. d. If the mass is doubled to 200 g, how long will it take the mass-spring system to complete one full oscillation?

Name: Dr. Nelson is at is again with Clem. She devises a toy for Clem to pl
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Description: Dr. Nelson is at is again with Clem. She devises a toy for Clem to play with while she is at workteaching her students. The toy is a mouse-shaped block of mass m, oscillating on a spring withspring constant k. The block slides on a frictionless hori

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

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 11OQ

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