Exercise
https://texercises.raemilab.ch/exercise/alpha-emitter/
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem: Masse \(m\) / Geschwindigkeit \(v\) / Impuls \(p\) /
The following formulas must be used to solve the exercise: \(p = mv \quad \) \(\sum p_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum p_{\scriptscriptstyle\rm tot}' \quad \) \(v' = \frac{m_1v_1+m_2v_2}{m_1+m_2} \quad \)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
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 wzS.
Report An Error
You are on texercises.raemilab.ch.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
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 wzS.
Contained in these collections
Attributes & Decorations
Topic
Tags
conservation, law, linear, mechanics, momentum, physics
Difficulty
(4, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image

Similar exercises (8)