Calculate the acceleration of the particle when it is at x = 1 m, in m/s2.

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A 8 kg particle is in a potential given by U(x) = 1 x^4 - 7 x^2 - 3 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

potential of particle is given as 

U(x) = x4-7x2-3x+8 J

The relation between force and potential is given as 

F = -dUdx

F =- ddx(x4-7x2-3x+8)F= -4x3-2.7x-3          (ddxxn=nxn-1)F= -4x3+14x+3 

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