What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.40 cm and a uniformly distributed charge of 1.60 x 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there? The charge of an electron is 1.602 x 10-19 C and its mass is 9.109 x 10-31 kg. Number i Units

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Chapter1: Units, Trigonometry. And Vectors
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What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.40 cm and a uniformly distributed
charge of 1.60 × 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and
have zero kinetic energy when it gets there? The charge of an electron is 1.602 x 10-19 C and its mass is 9.109 × 10-31 kg.
Number i
Units
Transcribed Image Text:What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.40 cm and a uniformly distributed charge of 1.60 × 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there? The charge of an electron is 1.602 x 10-19 C and its mass is 9.109 × 10-31 kg. Number i Units
Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a
narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere. In
configuration 2, N - 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring. (a) What is the
smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one
circumference electron-call it eo. How many other circumference electrons are closer to eo than the central electron is?
(a) Number i
(b) Number
i
Units
Units
Transcribed Image Text:Suppose N electrons can be placed in either of two configurations. In configuration 1, they are all placed on the circumference of a narrow ring of radius R and are uniformly distributed so that the distance between adjacent electrons is the same everywhere. In configuration 2, N - 1 electrons are uniformly distributed on the ring and one electron is placed in the center of the ring. (a) What is the smallest value of N for which the second configuration is less energetic than the first? (b) For that value of N, consider any one circumference electron-call it eo. How many other circumference electrons are closer to eo than the central electron is? (a) Number i (b) Number i Units Units
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