A particle of mass m = 4.00 kg moves along one dimension at a speed v = 2.00 m/s. The particle is subject to a single force, whose potential energy function is given by U (x) = x –x² + 4x + 2 (where U is measured in Joules and x is measured in meters). If the particle's initial position is in stable equilibrium, what is that position, in meters? What is the magnitude of the force (in newtons) felt by the particle when it is at position x = 5? Justify your answer using your rationale and equations used.
A particle of mass m = 4.00 kg moves along one dimension at a speed v = 2.00 m/s. The particle is subject to a single force, whose potential energy function is given by U (x) = x –x² + 4x + 2 (where U is measured in Joules and x is measured in meters). If the particle's initial position is in stable equilibrium, what is that position, in meters? What is the magnitude of the force (in newtons) felt by the particle when it is at position x = 5? Justify your answer using your rationale and equations used.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 50P: A particle of mass 0.50 kg moves along the x -axis with a potential energy whose dependence on x is...
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