F05s(3) - Physics 204A FINAL EXAM Chapters 1 - 14 Fall 2005...

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Physics 204A FINAL EXAM Chapters 1 - 14 Fall 2005 1 Name:__________________________________ Solve the following problems in the space provided. Use the back of the page if needed. Each problem is worth 10 points. You must show your work in a logical fashion starting with the correctly applied physical principles. The equations you need are on the equation sheet. Your score will be maximized if your work is easy to follow because partial credit will be awarded. 1. Pumpkins dropped from the edge of Butte Hall fall 62.0m to the ground below. The crowd is 10.0m back from the edge of the building. Find the maximum horizontal velocity the pumpkins can have when released so that they can’t reach the crowd. Using the kinematic equation without the final speed along y, y = y o + v oy t + 1 2 a y t 2 Putting in the zero values and solving for t, 0 = y o + 1 2 a y t 2 " t = # 2 y o a y Using the kinematic equation without the final speed along x, x = x o + v ox t + 1 2 a x t 2 Substituting and solving for the initial speed, x = v ox " 2 y o a y # v ox = x a y " 2 y o Putting in the numbers, v ox = (10.0) " 9.80 " 2(62.0) # v ox = 2.81 m / s . 2. A racecar goes completely around the racetrack shown at the right moving at a constant speed of 200km/h the entire way. Indicate in the diagram the direction of the acceleration at each of the labeled points and rank the accelerations from largest to smallest. Explain your thinking. Since the speed of the car is constant there will be no tangential acceleration. The centripetal acceleration is given by, a c = v 2 r . Since v is constant, the acceleration will be the largest when the radius of the turn is the smallest. Where the track is straight, the radius is infinite and the centripetal acceleration is zero. So the ranking will be, D>B>C>A=0. v ox x y x o = 0 y o = 62.0m x = 10.0m y = 0 v ox = ? v oy = 0 v x = v ox v y = ? a x = 0 a y = -9.80m/s 2 t = ? a = 0
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Physics 204A FINAL EXAM Chapters 1 - 14 Fall 2005 2 3. The car at the right has a mass of 750kg. The wheels of the car are broken and cannot roll. They will only slide. The coefficient of static friction between the tires and the road is 0.800. Find the tension in the cable needed to move the car. Note that the normal force in the sketch is the sum
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F05s(3) - Physics 204A FINAL EXAM Chapters 1 - 14 Fall 2005...

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