A positron (the antiparticle of the electron) has the same mass as an electron (9.11×10-³¹ kg) but the opposite charge, +e +1.602×10-¹⁹ C. Suppose a positror moves in the vicinity of an alpha particle, which has a charge +2e = 3.204×10-¹⁹ C. The alpha particle is over 7000 times as massive as the positron, so we assume that it is at rest in some inertial frame of reference. When the positron is 1.00×10-¹⁰ m from the alpha particle, it is moving directly away from the alpha particle at a speed of 3.00×106 m/s. = a) What is the positron's speed when the two particles are 2.00×10-¹0 m apart? b) What is the positron's speed when it is very far away from the alpha particle? c) Repeat a) after replacing the positron with an electron.

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Chapter5: Relativity
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Problem 100AP: A positron is an antimatter version of the electron, having exactly the same mass. When a positron...
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3. A positron (the antiparticle of the electron)
same mass as an electron
(9.11×10-³¹ kg) but the opposite charge, +e
= +1.602×10-¹9 C. Suppose a positror
moves in the vicinity of an alpha particle,
which has a charge +2e = 3.204×10-¹⁹ C.
The alpha particle is over 7000 times as
massive as the positron, so we assume that
it is at rest in some inertial frame of
reference. When the positron is 1.00×10-¹⁰
m from the alpha particle, it is moving
directly away from the alpha particle at a
speed of 3.00×10⁰ m/s.
a) What is the positron's speed when the
two particles are 2.00×10-¹0 m apart?
b) What is the positron's speed when it is
very far away from the alpha particle?
c) Repeat a) after replacing the positron
with an electron.
d) Repeat b) after replacing the positron
with an electron. The result here tells
you whether the electron will
eventually turn around and head
toward the alpha particle. Will the
electron turn around? If so, at what
distance away does it turn around (i.e.,
momentarily come to rest)? If not,
why?
Transcribed Image Text:has the 3. A positron (the antiparticle of the electron) same mass as an electron (9.11×10-³¹ kg) but the opposite charge, +e = +1.602×10-¹9 C. Suppose a positror moves in the vicinity of an alpha particle, which has a charge +2e = 3.204×10-¹⁹ C. The alpha particle is over 7000 times as massive as the positron, so we assume that it is at rest in some inertial frame of reference. When the positron is 1.00×10-¹⁰ m from the alpha particle, it is moving directly away from the alpha particle at a speed of 3.00×10⁰ m/s. a) What is the positron's speed when the two particles are 2.00×10-¹0 m apart? b) What is the positron's speed when it is very far away from the alpha particle? c) Repeat a) after replacing the positron with an electron. d) Repeat b) after replacing the positron with an electron. The result here tells you whether the electron will eventually turn around and head toward the alpha particle. Will the electron turn around? If so, at what distance away does it turn around (i.e., momentarily come to rest)? If not, why?
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