Problem 4: A mass m at the end of a spring of spring constant k is undergoing simple harmonic oscillations with amplitude A. Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy? Expression: Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, A, B, d, g, h, j, k, m, P, S, t Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude? Numeric : A numeric value is expected and not an expression. KE fraction = Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3? Numeric : A numeric value is expected and not an expression. KE / KE max = тах тах
Problem 4: A mass m at the end of a spring of spring constant k is undergoing simple harmonic oscillations with amplitude A. Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy? Expression: Select from the variables below to write your expression. Note that all variables may not be required. a, B, n, 0, A, B, d, g, h, j, k, m, P, S, t Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude? Numeric : A numeric value is expected and not an expression. KE fraction = Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3? Numeric : A numeric value is expected and not an expression. KE / KE max = тах тах
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 74PQ: The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the...
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