I need help coming up with the equations fo the bolded values A single conservat

Question

I need help coming up with the equations fo the bolded values

A single conservative force acting on a particle within a system varies as = (? Ax + Bx6) N, where A and B are constants, is in newtons, and x is in meters. Calculate the potential energy function U(x) associated with this force, taking U = 0 at x = 0. (Use any variable or symbol stated above as necessary.) U(x) = ? Find the change in potential energy and change in kinetic energy as the particle moves from x = 2.20 m to x = 4.00 m. (Use any variable or symbol stated above as necessary.) ?U = ? ?K = ? I need help coming up with the equations fo the bolded values

Explanation / Answer

F=-dU/dx

U=-integral(Fdx)

U=AX^2/2-Bx^7/7 put U=0 at x=0 ,the constant vanishes

(b)

change in U= U2-U1

U2=8A-B *(2340.57)

u1=2.42A-B*(35.63)

U2-U1=5.58 *A -B (2304.94)

change in K.E will be negative of change in U

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