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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?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 + p). 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?
Transcribed Image Text: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 + p). 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?
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