Question: A conservative force F(vector) is in the +x-direction and has magnitude F(x) = /(x + x 0 ) 2 , where = 0.800 N

A conservative force F̅(vector) is in the +x-direction and has magnitude F(x) = α/(x + x₀)², where α = 0.800 N ∙ m² and x₀ = 0.200 m.

(a) What is the potential-energy function U(x) for this force? Let U(x) → 0 as x → ∞.

(b) An object with mass m = 0.500 kg is released from rest at x = 0 and moves in the +x-direction. If F̅(vector) is the only force acting on the object, what is the object’s speed when it reaches x = 0.400 m?

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