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Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________ As a student at NJIT I (sign)_____________________________, will conduct myself in a professional manner and will comply with the provisions of the NJIT Academic Honor Code. I also understand that I must subscribe to the following pledge on major work submitted for credit as described in the NJIT Academic Honor code: On my honor, I pledge that I have not violated the provisions of the NJIT Academic Honor Code. Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. A graph of position versus time for an object oscillating at the free end of a horizontal spring is shown below. The point at which the object has zero velocity and negative acceleration is a. b. c. d. e. ____ A C B D E 2. The figure below shows a planet traveling in a clockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A, a. b. c. d. e. its speed is a maximum. its speed is increasing. its speed is decreasing. its speed is constant. its speed is a minimum. Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________ ____ 3. The object shown below has mass m and velocity v. The direction of its angular momentum vector with respect to an axis perpendicular to the page through point O is a. b. c. d. e. ____ counterclockwise. to the right. up out of the page. into the page. downwards. 4. In the figure, a 1.6-kg weight swings in a vertical circle at the end of a string having negligible weight. The string is 2 m long. If the weight is released with zero initial velocity from a horizontal position, its angular momentum (in kg m2/s) at the lowest point of its path relative to the center of the circle is approximately a. b. c. d. e. 40 20 30 50 10 Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________ ____ 5. Find the pressure in atmospheres at the base of Dworshak Dam if the water in the reservoir is 200 meters deep. (105 N/m2 = 1 ATM.) a. 20.6 ATM b. 75 ATM c. 24.7 ATM d. 196 ATM e. 29.4 ATM ____ 6. A wheel rotating about a fixed axis has an angular position given by = 3.0 2.0t2, where is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s? a. 1.0 rad/s2 b. 3.5 rad/s2 c. 3.0 rad/s2 d. 4.0 rad/s2 e. 2.0 rad/s2 Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________ ____ 7. A uniform rod (mass m = 1.0 kg and length L = 2.0 m) pivoted at one end oscillates in a vertical plane as shown below. The period of oscillation (in s) is approximately a. b. c. d. e. ____ 2.3 2.0 4.0 1.6 3.2 8. Three 5.0-kg masses are located at points in the xy plane as shown in the figure. What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin? a. b. c. d. e. 1.8 108 N 2.9 108 N 2.4 108 N 2.1 108 N 2.7 108 N Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________ ____ 9. To double the total energy of a mass oscillating at the end of a spring with amplitude A, we need to a. increase the angular frequency by . b. increase the amplitude by . c. increase the amplitude by 4 and decrease the angular frequency by . d. increase the amplitude by 2. e. increase the angular frequency by 2. ____ 10. A uniform solid sphere rolls without slipping along a horizontal surface. What fraction of its total kinetic energy is in the form of rotational kinetic energy about the center of mass? a. 5/7 b. 3/5 c. 1/2 d. 2/5 e. 2/7 Sample Problems for Final Exam, Phys 106, Summer 2010, Name:_______________________ Sample Problems for Final Exam, Physics 106, Summer 2010 Answer Section MULTIPLE CHOICE 1. ANS: 2. ANS: 3. ANS: 4. ANS: 5. ANS: 6. ANS: 7. ANS: 8. ANS: 9. ANS: 10. ANS: C C D B A D A D B E PTS: 1 PTS: 1 PTS: 1 PTS: 1 PTS: 1 PTS: 1 PTS: 1 PTS: 1 PTS: 1 PTS:1