Physics 30 / Module 3 Assessment Provide your solutions on a separate sheet of paper and submit all pages combined as a SINGLE PDF file. For each question you need to show all elements of GRASP: . Write what is Given and Required or provide a labeled diagram. . Analyze the necessary formula(e) and rearrange if necessary. . Substitute into the formula and include units, and . Paraphrase the final answer with correct significant digits, units, and direction (for vector quantities) o For written response, answer concisely with full sentences Electrostatics 1. When a nearby charged object causes a change in the distribution of charge on a neutral object, this is called an induced charge separation. Is it possible to create an induced charge separation on an insulator? On a conductor? Explain your answers. 2. Two neutral metal spheres on wood stands are touching. A negatively charged rod is held directly above the top of the left sphere, not quite touching it. While the rod is there, the right sphere is moved so that the spheres no longer touch. Then the rod is withdrawn. Afterward, what is the charge state of each sphere? Use charge diagrams to explain your answer. Coulomb's Law and Electric Forces 3. In a hydrogen atom, an electron is 5.29 x 10-1 m from a proton. A. Calculate the magnitude of the electrostatic force acting on the two charges. B. Is the electron attracted to or repelled from the proton? 4. A metal sphere with a charge of -3.00 UC is at a distance of 12.0 cm from another similar metal sphere with a charge of +2.00 UC. The two spheres momentarily touch, and are then returned to their original positions. A. Calculate the magnitude of electrostatic force acting on the two metal spheres after being returned to their original positions. B. If released after being returned to their original positions, would the spheres accelerate toward or away from each other 5. Two point charged objects produce an electric force of 0.0620 N on each other. What is the magnitude of the electrostatic force between the charges if the distance between them increases three times and one of the charges is doubled? 6. A 1.8 g pith ball is suspended from a thread and placed in an electric field. When placed in the electric field, the pith ball is deflected to the left so that the thread Charged red makes a 9.50 angle with the vertical. Calculate the magnitude of the electrostatic force on the pith ball.A B 7. From the diagram to the right, determine the net -2.00 uC 0.10 m +3.00 uC electrostatic force on the charge labeled 'C'. 0.075 m C +4.00 uC Electric Fields 8. Determine the distance from an electron where the magnitude of the electric field would be 5.14 x 1011 N/C. 9. A charge of -5.00 C is separated from another charge of +2.00 C by a distance of 1.20 m. Determine: A. the net electric field midway between the two charges. B. the position where the net electric field is zero. 10. What is the magnitude of the instantaneous acceleration of an alpha particle when it is at a point in space where the electric field strength is 7.60 x 10* N/C? 11. What is the magnitude and direction of the electric field at point Z in the diagram below? q - 20 x 10- C 9 - 8.0 x 10 * C O O 60 cm 30 cm - X Z Electric Potential Difference 12. What is the speed of an electron that has 13.3 ev of kinetic energy? 13. An alpha particle gains 1.50 x 10-15 ] of kinetic energy. Determine the potential difference it was accelerated through. 14. The electric field strength between two parallel plates is 9.3 x 102 V/m when the plates are 7.0 cm apart. What would the electric field strength be if the plates were 5.0 cm apart? 15. An electron is released from rest adjacent to the negative plate in a parallel plate apparatus. A potential difference of 500 V is maintained between the plates, and they are in a vacuum. With what speed does the electron collide with the positive plate? 16. A proton is placed in an electric field between two parallel plates. If the plates are 6.0 cm apart and have a potential difference between them of 75 V, how much work is done against the electric field when the proton is moved 3.0 cm parallel to the plates?17. Assuming that electrons enter the parallel plates with a horizontal velocity of 3.20 x 10 m/s and travel a vertical distance of 0.040 m, how far will the electrons travel horizontally before they crash into the positive plate? Initial path of beam of electrons 0.040 m 60.0 VPHYSICS DATA SHEET Constants Prefixes Used with SI Units Particles Acceleration Due to Gravity Exponential Charge Mass Near Earth.... lag| = 9.81 m/s2 Prefix Symbol Value G = 6.67 x 10-1 N.m3/kg 10-18 Alpha Particle.... Gravitational Constant .... ...... +2e 6.65 x 102 kg atto .... Radius of Earth Te = 6.37 x 10 m femto ..... 10-15 Electron ... ......-le 9.11 x 10 kg Mass of Earth.. ............". Me = 5.97 x 1024 kg PICO ...... P........ 10-12 Proton ..... ....... +le 1.67 x 10-27 kg Elementary Charge ........... e= 1.60 x 10-19 C nano......... 1..... 10-9 Coulomb's Law Constant .. k = 8.99 x 10" N-m-/C2 Neutron..... 0 1.67 x 10-27 kg micro ... HI .......... 10-6 Electron Volt .. 1 eV = 1.60 x 10-19 J milli..... m...... 10-3 First-Generation Fermions Index of Refraction of Air. n = 1.00 centi.... C............ ..10-2 Charge Mass Speed of Light in Vacuum. c = 3.00 x 108 m/s deci.... d...10-1 Electron ... ..some -le ~0.511 MeV/c2 Planck's Constant ........ h =6.63 x 10-34 J.s deka ........ da..... 101 h =4.14 x 10-eV.s hecto .. h.....102 Positron ... ..... +le ~0.511 MeV/c2 Atomic Mass Unit ........ u = 1.66 x 10-kg kilo ..... K.... 105 Electron neutrino, V...... 0