Two small aluminium spheres weighing 10 g each are suspended by 10-cm-long silk threads from two hooks separated 10 cm apart. When the spheres are uncharged, the silk threads are vertical due to the gravitational pull of the earth (the effect of gravity between the two spheres is negligible). A fraction of the electrons from each sphere is then removed, leaving behind a net positive electric charge on each sphere. Once the spheres are charged, they move away from each other causing the thread to hang at 45 degrees from vertical. a) What is the net positive charge on each sphere? Hint: The horizontal and vertical forces acting on each sphere must be equal for the net force to be along a 45 degree angle. b) Given that the atomic mass of Aluminium is 27 and the atomic number is 13, what percentage of total electrons of the aluminium spheres need to be taken away to achieve this scenario?
Two small aluminium spheres weighing 10 g each are suspended by 10-cm-long silk threads from two hooks separated 10 cm apart. When the spheres are uncharged, the silk threads are vertical due to the gravitational pull of the earth (the effect of gravity between the two spheres is negligible). A fraction of the electrons from each sphere is then removed, leaving behind a net positive electric charge on each sphere. Once the spheres are charged, they move away from each other causing the thread to hang at 45 degrees from vertical. a) What is the net positive charge on each sphere? Hint: The horizontal and vertical forces acting on each sphere must be equal for the net force to be along a 45 degree angle. b) Given that the atomic mass of Aluminium is 27 and the atomic number is 13, what percentage of total electrons of the aluminium spheres need to be taken away to achieve this scenario?
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Electric Fields
Section: Chapter Questions
Problem 42AP
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3. Two small aluminium spheres weighing 10 g each are suspended by 10-cm-long silk threads from two hooks separated 10 cm apart. When the spheres are uncharged, the silk threads are vertical due to the gravitational pull of the earth (the effect of gravity between the two spheres is negligible). A fraction of the electrons from each sphere is then removed, leaving behind a net positive electric charge on each sphere. Once the spheres are charged, they move away from each other causing the thread to hang at 45 degrees from vertical. a) What is the net positive charge on each sphere? Hint: The horizontal and vertical forces acting on each sphere must be equal for the net force to be along a 45 degree angle. b) Given that the atomic mass of Aluminium is 27 and the atomic number is 13, what percentage of total electrons of the aluminium spheres need to be taken away to achieve this scenario?
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