A Conservative Force on a Particle Moving Along the X $\overrightarrow{\mathbf{F}}=\left(3 x^{2}-2 x\right) \tilde{\mathbf{i}}$

question 1

Multiple Choice

A conservative force on a particle moving along the x axis is given by $\overrightarrow{\mathbf{F}}=\left(3 x^{2}-2 x\right) \tilde{\mathbf{i}}$ . Which of the following is a potential that is associated with this force?

• A) \((6 x-2) \tilde{\mathbf{i}}\)
• B) \((-6 x+2) \tilde{\mathbf{i}}\)
• C) \(x^{3}-x^{2}+3\)
• D) \(-x^{3}+x^{2}+3\)
• E)No answer given above is correct.

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Definitions:

Arthur Koestler

A British-Hungarian writer known for works exploring the intersection of science, politics, and creativity, including the book "The Act of Creation."

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