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https://texercises.com/exercise/rifle-recoil/
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The following quantities appear in the problem: Masse \(m\) / Geschwindigkeit \(v\) / Impuls \(p\) /
The following formulas must be used to solve the exercise: \(p = mv \quad \) \(\sum p_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum p_{\scriptscriptstyle\rm tot}' \quad \) \(v' = \frac{m_1v_1+m_2v_2}{m_1+m_2} \quad \)
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Exercise:
Calculate the velocity of a .kg rifle that shoots a .g bullet at a speed of meterpersecond.

Solution:
Denote qtytextmass textvelocity textmomentum of rifle and bullet qtym_p vp and qtym_qwq respectively. PSchrittmomentum conservation PSchrittinsert momenta PSchrittinsert formulas PGleichungptot &mustbe ptot' PGleichung p' + q' PGleichung m_pv' + m_qw' MSchrittsort MSchrittdivide MGleichungm_pv' -m_qw' MGleichungv' -fracm_qw'm_p PHYSMATH Plugging in the numbers yields: al v' -fracm_qw'm_p -frac.kg .kg -.. The minus sign means that the rifle recoils in the opposite direction of the bullet.
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Exercise:
Calculate the velocity of a .kg rifle that shoots a .g bullet at a speed of meterpersecond.

Solution:
Denote qtytextmass textvelocity textmomentum of rifle and bullet qtym_p vp and qtym_qwq respectively. PSchrittmomentum conservation PSchrittinsert momenta PSchrittinsert formulas PGleichungptot &mustbe ptot' PGleichung p' + q' PGleichung m_pv' + m_qw' MSchrittsort MSchrittdivide MGleichungm_pv' -m_qw' MGleichungv' -fracm_qw'm_p PHYSMATH Plugging in the numbers yields: al v' -fracm_qw'm_p -frac.kg .kg -.. The minus sign means that the rifle recoils in the opposite direction of the bullet.
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Attributes & Decorations
Branches
Momentum
Tags
conservation, law, linear, mechanics, momentum, physics
Difficulty
(4, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image