eguruchela

List of formulas related to Conservation law

Momentum of Force

$$ \vec{p} = m\vec{v} $$

Law of conservation of momentum

V1, V2: initial velocities of objects 1 and 2; V1`, V2`: final velocities of objects 1 and 2


$$ \vec{p} = \vec{p'} => m_1\vec{v_1} + m_2\vec{v_2} = m_1\vec{v'_1} + m_2\vec{v'_2} $$

Elastic Collision

V`: Velocity of the two body system(m1+m2) after impact

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$$ {v'} = \frac{m_1 {v_1} + m_2 {v_2}}{m_1 + m_2} $$

One Dimensional Elastic Collision

v1`, v2`: velocities of m1 and m2 after impact

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$$ {v'_1} = \frac{(m_1 - m_2){v_1} + 2 m_2 {v_2}}{m_1 + m_2} $$ $$ {v'_2} = \frac{(m_2 - m_1){v_2} + 2 m_1 {v_1}}{m_1 + m_2} $$