A 3.0 kg object is moving along the x-axis in a region where its potential energy as a function of x is given as U(x) = 4.0x², where U is in joules and x is in meters. When the object passes the point x = -0.50 m, its velocity is +2.0 m/s. All forces acting on the object are conservative. (a) Calculate the total mechanical energy of the object. (b) Calculate the x-coordinate of any points at which the object has zero kinetic energy. (c) Calculate the magnitude of the momentum of the object at x = 0.60 m. (d) Calculate the magnitude of the acceleration of the object as it passes x = 0.60 m.

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
Chapter7: Conservation Of Energy
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Problem 18P
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Mech. 1.
A 3.0 kg object is moving along the x-axis in a region where its potential energy as a function of x is given
as U(x) = 4.0x², where U is in joules and x is in meters. When the object passes the point x = -0.50 m, its
velocity is +2.0 m/s. All forces acting on the object are conservative.
(a) Calculate the total mechanical energy of the object.
(b) Calculate the x-coordinate of any points at which the object has zero kinetic energy.
(c) Calculate the magnitude of the momentum of the object at x = 0.60 m.
(d) Calculate the magnitude of the acceleration of the object as it passes x = 0.60 m.
Transcribed Image Text:Mech. 1. A 3.0 kg object is moving along the x-axis in a region where its potential energy as a function of x is given as U(x) = 4.0x², where U is in joules and x is in meters. When the object passes the point x = -0.50 m, its velocity is +2.0 m/s. All forces acting on the object are conservative. (a) Calculate the total mechanical energy of the object. (b) Calculate the x-coordinate of any points at which the object has zero kinetic energy. (c) Calculate the magnitude of the momentum of the object at x = 0.60 m. (d) Calculate the magnitude of the acceleration of the object as it passes x = 0.60 m.
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