Name: ________________________ Exam 1--PHYS 202--S16 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Rank in order, from largest to smallest, the absolute values |Ug| of the gravitational potential energies of these pairs of masses. The numbers give the relative masses and distances. a. b. c. d. e. 4. The value of g at the height of the space shuttle’s orbit is a. 10 m/s2 b. slightly less than 10 m/s2 c. much less than 10 m/s2 d. exactly zero e. more than 10 m/s2 5. Two masses experience a gravitational force F. If you double the distance between the two objects, what is the force? a. 4F b. 2F c. F d. F e. F Ue > Ua = Ub = Ud > Uc Ub > Uc > Ua = Ud > Ue Ub > Uc > Ud > Ua > Ue Ue > Ua = Ub >Uc > Ud Ue > Ud > Ua > Ub = Uc 6. A graviatational field is _______________. a. a measure of energy per unit mass. b. a measure of force per unit mass. c. a conservative force. d. always consistent. e. equal to the force. 2. The escape velocity of an object in a gravitational field can be determined by using which of these principles? a. Law of Conservation of Energy b. Newton’s Universal Law of Gravitation c. Newton’s shell theorem d. Coulomb’s law 7. The up-quark, u, has an elementary charge of +(2/3)e and the down-quark, d, of -(1/3)e. What combination of three of these quarks makes up a neutron? a. uud b. udd c. ddd d. uuu 3. A planet has the same mass as Earth but one-half of the Earth’s radius. If the gravitational field on Earth is 10 m/s2, what is the gravitational field on this other planet? a. 10 m/s2 b. 5 m/s2 c. 20 m/s2 d. 40 m/s2 e. 2.5 m/s2 1 11. Two electrons and a third charged particle are located at different positions along a straight line. Both electrons experience zero net force due to static electricity. Is the charge on the third particle positive or negative, and where must it be located on the line, relative to the electrons? a. negative, in between the electrons b. positive, in between the electrons c. negative, with both electrons on the same side d. positive, with both electrons on the same side 8. You bring a negatively charged rod near to a neutral copper wire, as in this figure. Which of these statements is true? a. b. c. d. e. 12. The diagram shows three heavily charged plastic cubes. The net force on cube #3 is shown. If cube #3 is positively charged, what are the charges on cubes 1 and 2, respectively? The wire will move away from the rod Negative charges will move to the right-hand side of the wire. Nothing will happen unless the two objects touch Positive charges will move to the left-hand side of the wire. Negative charges will move to the center of the wire. 9. Imagine two charges, A & B. Charge A is attracted to a positive charge. Charge B is repelled from a negative charge. What happens if you bring charges A& B near to one another? a. b. c. d. a. b. c. d. cube 1 is positive; cube 2 is negative cube 1 is positive; cube 2 is positive cube 1 is negative; cube 2 is positive cube 1 is positive; cube 2 is negative 13. The force between two charges, which are separated by 4 m, is 12 N. If the two charges are brought closer to a distance of 2 m, what is the force? a. 48 N b. 24 N c. 12 N d. 6 N e. 3 N they attract they repel nothing; they neither attract nor repel there is not enough information; you must know the charge of A & B 10. Doug rubs a piece of fur on a hard rubber rod, giving the rod a negative charge. What happens? a. The fur is left neutral. b. The fur is also charged negatively. c. Electrons are added to the rod. d. Protons are removed from the rod. 2 14. This figure shows 2 metal spheres that each have a charge. If q2 has a charge with a magnitude of 3 C, what is the charge on q 1? 15. Electric field is _______________. a. a measure of energy per unit charge. b. a measure of force per unit charge. c. a conservative force. d. always quantized. e. equal to the force on a charged particle. 16. Consider this configuration of charges. At what point is the electric field equal to zero? (Point C is equidistant between the 2 charges.) a. b. c. d. a. b. c. d. e. +1.5 C +6 C -3 C +11 C a b c d e Problem 17. (5 pts) Draw lines to represent the electric field surrounding this configuration of charges. 3 18. (20 pts) Consider this configuration of charges. a) Draw the electric field vectors on point A? b) What is the magnitude and direction of the electric field at point A? c) If you place an electron at point A, what force will it experience? d) If you release the electron at point A, what is the magnitude of its initial acceleration? 4 19. (10 pts) Consider this configuration of masses. The mass on the left is a point mass; the one on the right is a spherical shell of mass of radius r. The two masses are separated by a distance d. 20. (15 pts) You find a very large flat structure in the early universe. It has a mass surface density of 2x1012 kg/m2. The mass surface density, σ, is a measure of mass/area (σ = m ). A a) Write an expression for the gravitational field above this structure. b) What is the acceleration due to gravity at a point 1x106 m? a) Write an expression, in terms of the variables above, that gives the force between the two masses in this figure. c) If you go to a distance twice as far away from the structure, what happens to the gravitational field? Does it increase or decrease by a certain amount, or does it remain constant? b) Describe the theorem, in 1-3 sentences, that Isaac Newton developed to deal with situations like this. . 5 21. (15 pts) A beam of electrons must travel between 2 charged plates and exit so they just miss the top plate. The electrons are traveling at a speed of 2.0x10 4 m/s and enter at a position equidistant from both plates. What must be the magnitude and direction of the electric field for this to occur? . 6 ID: A Exam 1--PHYS 202--S16 Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: A A D C E B B B B C B B A B B B PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 REF: REF: REF: REF: REF: REF: REF: REF: REF: REF: REF: S16 S16-CC S16 S16 S16 S16-CC S16 S16 S16 S16 S16 PROBLEM 17. ANS: . PTS: 1 18. ANS: . PTS: 1 19. ANS: . PTS: 1 20. ANS: . PTS: 1 21. ANS: . PTS: 1 1