12. 10. 11. 9. The grid in Figure 5 is marked in micrometers. Two identical ions, each having three more protons than electrons, are held in position-one at the origin and one 3.0 μm away along the positive x axis. What is the magnitude and direction of the electric field at point A = (-3 μm, 0)? A B 3 2 1 ++ -5-4-3-2-1 5 -2- -3 3+ Figure 5 x- Given the same situation as the previous question, What is the magnitude and direction of the electric field at point B = (3 μm, 3 μm)? (You might want to save this question for last!) Astronauts are on a spacecraft traveling at 2.7 x 108 m/s with respect to Earth. (a) Calculate ẞ and y for the relative motion of Earth and the spacecraft. (b) According to a biology text, it takes 45 s for blood to circulate around the human body. If astronauts on the spacecraft run experiments to determine how long (on their own clocks) it takes their blood to circulate around their bodies. What should they measure? Even if you aren't sure about a numerical answer to this question, you should at least be able to explain whether the time will be the same, shorter, or longer than 45 s. (c) If Earth-bound scientists use remote equipment to measure how long it takes for the blood to circulate around the astronaut's bodies, how long will will it take according to clocks on Earth? Even if you aren't sure about a numerical answer to this question, you should at least be able to explain whether the time will be the same, shorter, or longer than 45 s. Scientists in one lab observe that two sparks occur in the same place 4.0 seconds apart in time. In another lab that is moving relative to the first, observations record two sparks that occur 5.0 seconds apart and separated by a distance of 3.0 seconds (or 9.0 × 108 m). Use either the spacetime interval or the Lorentz factor to check whether these measurements could be measurements of the same two sparks. Be sure to explain how your calculations relate to the question!
12. 10. 11. 9. The grid in Figure 5 is marked in micrometers. Two identical ions, each having three more protons than electrons, are held in position-one at the origin and one 3.0 μm away along the positive x axis. What is the magnitude and direction of the electric field at point A = (-3 μm, 0)? A B 3 2 1 ++ -5-4-3-2-1 5 -2- -3 3+ Figure 5 x- Given the same situation as the previous question, What is the magnitude and direction of the electric field at point B = (3 μm, 3 μm)? (You might want to save this question for last!) Astronauts are on a spacecraft traveling at 2.7 x 108 m/s with respect to Earth. (a) Calculate ẞ and y for the relative motion of Earth and the spacecraft. (b) According to a biology text, it takes 45 s for blood to circulate around the human body. If astronauts on the spacecraft run experiments to determine how long (on their own clocks) it takes their blood to circulate around their bodies. What should they measure? Even if you aren't sure about a numerical answer to this question, you should at least be able to explain whether the time will be the same, shorter, or longer than 45 s. (c) If Earth-bound scientists use remote equipment to measure how long it takes for the blood to circulate around the astronaut's bodies, how long will will it take according to clocks on Earth? Even if you aren't sure about a numerical answer to this question, you should at least be able to explain whether the time will be the same, shorter, or longer than 45 s. Scientists in one lab observe that two sparks occur in the same place 4.0 seconds apart in time. In another lab that is moving relative to the first, observations record two sparks that occur 5.0 seconds apart and separated by a distance of 3.0 seconds (or 9.0 × 108 m). Use either the spacetime interval or the Lorentz factor to check whether these measurements could be measurements of the same two sparks. Be sure to explain how your calculations relate to the question!
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 32P
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