A radioactive nucleus, originally at rest, decays by emitting an electron and a neutrino at right angles to one another. The momentum of the electron is 1.2 x 10-23 kg · m/s and that of the neutrino is 0.5 x 10-23 kg · m/s. (a) Draw a picture that clearly indicates the approximate momentum - magnitude and direction- of each particle. (b) Find the momentum of the recoiling nucleus. Report both the magnitude of its momentum and its direction relative to the electron. (c) If the speed of the residual nucleus is 2.6 x 103 m/s, what is its mass?

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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2 Radioactive Decay
A radioactive nucleus, originally at rest, decays by emitting an electron and a neutrino at right angles to one another.
The momentum of the electron is 1.2x 10-23 kg m/s and that of the neutrino is 0.5 x 10-23 kg m/s.
(a) Draw a picture that clearly indicates the approximate momentum – magnitude and direction - of each particle.
(b) Find the momentum of the recoiling nucleus. Report both the magnitude of its momentum and its direction
relative to the clectron.
(c) If the speed of the residual nucleus is 2.6 x 10° m/s, what is its mass?
Transcribed Image Text:2 Radioactive Decay A radioactive nucleus, originally at rest, decays by emitting an electron and a neutrino at right angles to one another. The momentum of the electron is 1.2x 10-23 kg m/s and that of the neutrino is 0.5 x 10-23 kg m/s. (a) Draw a picture that clearly indicates the approximate momentum – magnitude and direction - of each particle. (b) Find the momentum of the recoiling nucleus. Report both the magnitude of its momentum and its direction relative to the clectron. (c) If the speed of the residual nucleus is 2.6 x 10° m/s, what is its mass?
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