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phy What is the escape speed for an electron initially at rest on the surface of

ID: 2138594 • Letter: P

Question

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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 1.1 cm and a uniformly distributed charge of 1.8 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.

What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.1 cm and a uniformly distributed charge of 1.8 times 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 times 10-19 C and its mass is 9.109 times 10-31 kg. Number:

Explanation / Answer

KE =PE


0.5mv^2 = Kq1q2/r


v^2 = 9e9 * 1.602(10^-19)* 1.8*10^-15*2/(0.011* 9.11*10^-31)


V=2.27 *10^4 m/s