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Please answer b and c.

[12 points] A 4.00-kg particle is subject to a single conservative force $F_{x}$ that varies with position as shown below. Suppose that the particle starts from rest at $x=0m$. a. What is the particle's speed at (i) $x=5.00m$, (ii) $x=10.0m$, and (iii) $x=15.0m$. b. Determine the potential energy of the system at (i) $x=5.00m$, (ii) $x=10.0m$, and (iii) $x=$ $15.0m$ c. Determine the average power that must be supplied to move the particle from $x=5.00m$ to $x=10.0m$.

Part b The slope of the curve F vs x represents the spring constant. F=k×xHence potent