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https://texercises.com/exercise/alpha-emitter/
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Exercise:
An atomic nucleus initially moving at meterpersecond emits an upalpha-particle in the direction of its velocity and the remaining nucleus slows to meterpersecond. If the upalpha-particle has a mass of .u and the original nucleus has a mass of u what speed does the upalpha-particle have when it is emitted?

Solution:
We can determine the speed using momentum conservation during the emission. ImpulsSchritte PGleichungsscp sscp' + p_alpha' PGleichungsscMsscv sscmsscv' + m_alpha v_alpha' PGleichungsscMsscv sscM-m_alphasscv' + m_alpha v_alpha' AlgebraSchritte MGleichungMv M-m_alphasscvN' + m_alpha v_alpha' MGleichungm_alpha v_alpha' Mv - M-m_alphasscvN' MGleichungv_alpha' fracMv - M-m_alphasscvN'm_alpha % PHYSMATH Inserting the numbers leads to al v_alpha' wzf fracM v - qtyM-mz wemz wz wzIII.
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Exercise:
An atomic nucleus initially moving at meterpersecond emits an upalpha-particle in the direction of its velocity and the remaining nucleus slows to meterpersecond. If the upalpha-particle has a mass of .u and the original nucleus has a mass of u what speed does the upalpha-particle have when it is emitted?

Solution:
We can determine the speed using momentum conservation during the emission. ImpulsSchritte PGleichungsscp sscp' + p_alpha' PGleichungsscMsscv sscmsscv' + m_alpha v_alpha' PGleichungsscMsscv sscM-m_alphasscv' + m_alpha v_alpha' AlgebraSchritte MGleichungMv M-m_alphasscvN' + m_alpha v_alpha' MGleichungm_alpha v_alpha' Mv - M-m_alphasscvN' MGleichungv_alpha' fracMv - M-m_alphasscvN'm_alpha % PHYSMATH Inserting the numbers leads to al v_alpha' wzf fracM v - qtyM-mz wemz wz wzIII.
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Momentum
Tags
breakup, conservation, law, linear, mechanics, momentum, mometum, physics
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Difficulty
(4, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
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