A force acts on a cart of mass m in such away that the speed v of

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A force acts on a cart of mass m in such away that the speed v of the cart increases with distance x as v = Cx, where C is a constant. 

(a) Find the force acting on the cart as a function of position.

(b) What is the work done by the force in moving the cart from x = 0 to x = x1?

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