Conceptual Questions Remember to explain all your answers in order to receive full credit. 1. (2 pt) A person whirls a metal sphere attached to the end of a cord in a vertical circle. Assuming the speed of the sphere is constant (an approximation), when would the tension in the cord connected to the sphere be greatest? Explain your answer. (a) At the top of the circle. (b) A little alter the bottom of the circle when the ball is climbing. (c) At the bottom of the circle. (d) A little before the bottom of the circle when the ball is descending quickly. (e) Nowhere; the cord is stretched the same amount at all points. 2. (2 pt) Will the acceleration of a truck be the same when it travels around a sharp curve at a constant speed of 50 mi/h as when it travels around a gentle curve at the same speed? Explain. 3. (4 pt) An off-road vehicle maintains a constant speed V as it traverses the hill and valley shown in the picture. Both the hill and valley have a radius of curvature R. At which point, A, B, or C, is the normal force acting on the vehicle (a) the largest, (b) the smallest? Explain. (c) Where would the driver feel heaviest and (d) lightest? Explain. A 3333.3 333;\"? 333st c 3343 Grading: 1 pt for each answer. Full credit for naming the correct in parts (a) 3 (d), even without explanation. 4. (2 pt) In an amusement park ride people are \"ying" in a circle. Which statement is true? (a) Centrifugal force is pulling the people away from the center of the circle. (b) The chair a person sit on is pushing him toward the center of the circle. (c) Both of the above. (d) Neither of the above. 5. (2 pt) In a rotating Vertical cylinder (Rotor-ride) a rider finds herself pressed with her back to the rotating wall. Which is the correct ee-body diagram for her? (a) (b) (c) (d) (6) Problems The following problems will be graded. For full credit, please Show your work, including diagrams, algebraic equations, and enough written explanations that somebody who is not familiar with the problem could understand what you are doing. A nal numerical answer is only one small part of a complete solution; an answer with no work shown will not be given any credit. 6. (5 pt) Again, consider the off-road vehicle shown in the picture. If the hill and the valley have a radius of curvature R=80m, how fast can the car go without losing contact with the road (i.e., getting \"airbome\") at the top of the hill