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201f01finalsolt - Name Total Points(Last(First Multiple...

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Name: ______________________________________________________________ Total Points: _______ (Last) (First) Multiple choice questions Answer all of the following questions. Read each question carefully. Fill the correct bubble on your scantron sheet . Each question has exactly one correct answer. All questions are worth the same amount of points. On a frictionless horizontal surface, three boxes are connected by inextensible massless strings and are pulled by a force F as shown in the figure. The masses of the boxes are proportional to their sizes. Which string has to be the strongest so as not to break? All 3 boxes have the same acceleration. The tension in one string is the net force applied to the set of boxes and strings to the left of that string, thus a m m m T a m m T a m T C B A C B A B A A ) ( ) ( + + = + = = T c is the largest. A. A B. B C. C D. A, B and C must be equally strong 1. E. A and B must be equally strong.
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Name: ______________________________________________________________ Total Points: _______ (Last) (First) The figure shows a top view of a ball on the end of a string traveling counterclockwise in a circular path. The speed of the ball is constant. If the string should break at the instant shown, the path that the ball would follow is A. 1 B. 2 After the string broke, the ball is free falling. Its path is a parabola which viewed from the top is a straight line tangent to the velocity of the ball when the string breaks. C. 3 D. 4 2. E. impossible to tell from the given information A 5-kg object undergoes a displacement j i s ˆ 2 ˆ 5 + = r . During the displacement, a constant force j i F ˆ 8 ˆ 3 + = r acts on the object. All values are given in SI units. The work done by the force F r on this object is (in Joules) A. –15 J 3. B. 16 C. -34 D. 1 1 2 8 ) 5 ( 3 = × + × = = s F W r r E. 6
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Name: ______________________________________________________________ Total Points: _______ (Last) (First) A motor develops power as shown in the graph. The energy expended by the motor in the time interval between t = 10 s and t = 30 s is A. 1.0 J 4. B. 1.3 J C. 0.20 kJ D. 0.60 kJ since P=dW/dt, J Pdt W s s 600 30 10 = = (the area under the power curve between 10 and 30s). E. 0.70 kJ
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Name: ______________________________________________________________ Total Points: _______ (Last) (First) The shaded area in the figure represents a uniformly thick sheet of metal. The center of mass of the sheet is closest to point A. 1 5. B. 2 C. 3 By symmetry the CM is along the 213 line. 1 is the CM of the top and bottom parts of the sheet of metal. Taking into account the right part, the CM moves to the right to point 3. D. 4 E. 5 You shoot an arrow with a mass of 0.54 kg from a bow. The bow exerts a force of 125 N for 0.65s. The speed of the arrow as it leaves the bow is A. 0.10 km/s 6. B. 0.15 km/s s m m t F v dt F p final / 150 54 . 0 65 . 0 125 = × = = = r r C. 0.23 km/s D. 0.27 km/s E. 0.30 km/s
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Name: ______________________________________________________________ Total Points: _______ (Last) (First) Two identical bodies of mass M move with equal speeds v . The direction of their velocities is illustrated in the figure. The magnitude of the linear momentum of the system is In an (x,y) frame such the x axis is directed left to right and the y axis bottom to top, A. 2Mv 7.
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