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Force and Potential Energy: a Particle Experiences a Force Given

Question 97

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Force and potential energy: A particle experiences a force given by F(x) = α - βx3. Find the potential field U(x) the particle is in. (Assume that the zero of potential energy is located at x = 0.)


A) U(x) = -αx + Force and potential energy: A particle experiences a force given by F(x)  = α - βx<sup>3</sup>. Find the potential field U(x)  the particle is in. (Assume that the zero of potential energy is located at x = 0.)  A)  U(x)  = -αx +   x4 B)  U(x)  = -αx -   x4 C)  U(x)  = 3βx<sup>2</sup> D)  U(x)  = -3βx<sup>2</sup> x4
B) U(x) = -αx - Force and potential energy: A particle experiences a force given by F(x)  = α - βx<sup>3</sup>. Find the potential field U(x)  the particle is in. (Assume that the zero of potential energy is located at x = 0.)  A)  U(x)  = -αx +   x4 B)  U(x)  = -αx -   x4 C)  U(x)  = 3βx<sup>2</sup> D)  U(x)  = -3βx<sup>2</sup> x4
C) U(x) = 3βx2
D) U(x) = -3βx2

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