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Problem 4: A cart with frictionless bearings is placed on the track at point t as shown in the diagram. The cart is released from

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Problem 4: A cart with frictionless bearings is placed on the track at point t as shown in the diagram. The cart is released from rest and travels around the track to B, C, D, B again, then E. A student observing this motion draws the following conclusion: "The cart is in uniform circular motion while traveling the circular part of the track, so during the path BCDB, the cart's acceleration and net force always point toward the center of the circle and the velocity always points tangent to the circle." Parts of this conclusion are incorrect. (a) For the dots below, draw vectors for the cart when it is at Point (3. The forces acting on the cart at Point C The velocity vector v, acceleration vector at, and net force vector F when the cart is at Point C (b) Briey state what is correct about the student's conclusion and explain why. (c) Use appropriate physical principles to explain why the motion is not uniform circular motion. (d) Briefly outline an experiment procedure that could be followed to determine whether the circular motion is uniform. Be sure to explain any measurements to be made and what equipment is to be used. (e) Suppose that when the student releases the cart, it falls off of the track before reaching point D. Briey explain what the student can do on a second trial that would cause the cart to stay on the track at Point D

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