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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,

$F = - \frac{d U}{d x} m a = - \frac{d U}{d x} a = - (\frac{1}{m}) \frac{d U}{d x}$

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