Daughter nucleus y Neutrino Electron

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I can't seem to get the correct answer in finding the momentum of this problem..

A radioactive nucleus is at rest when it spontaneously decays by emitting an electron and neutrino (as shown in the figure below ). The momentum of the electron is 8.10 x 10−19 kg·m/s and it is directed at right angles to that of the neutrino. The neutrino's momentum has magnitude 5.09 x 10−19 kg·m/s. In what direction does the newly formed (daughter) nucleus recoil? Let the electron direction be along the positive x-axis and find the direction of nucleus recoil with respect to the electron's direction.

What is its momentum?

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The answer I've tried so far, that was the inncorrect momentum is 9.57 x 10^-19 m/s

Daughter nucleus
y
Electron
Neutrino
Transcribed Image Text:Daughter nucleus y Electron Neutrino
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