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A 9 kg particle is in a potential given by U(x) = 2 x^4 - 6 x^2 - -2 x + 8 (J). Calculate the acceleration of the particle when it is at x = 1 m, in m/s2.

A 9 kg particle is in a potential given by U(x) = 2 x^4 - 6 x^2 - -2 x + 8 (J). Calculate the acceleration of the particle when it is at x = 1 m, in m/s2.

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A 9 kg particle is in a potential given by U(x) = 2 x^4 - 6 x^2 - -2 x + 8 (J).  Calculate the acceleration of the particle when it is at x = 1 m, in m/s2.

(Please answer to the fourth decimal place - i.e 14.3225)

Expert Solution
Step 1

The force can be represented as,

F=-dUdxma=-dUdxa=-1mdUdx

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