Momentum P is given by:
[tex]P = mv[/tex]
Given: m₁ = 62 kg, m₂ = 78.1 kg, v₁ = ?, v₂ = 0 m/s, v₁₊₂ = 1.29 m/s
before:
[tex]P = m_1 v_1 * m_2 v_2 = m_1 v_1[/tex]
after:
[tex]P = (m_1 + m_2)v_{1+2}[/tex]
Since momentum is conserved, the momentum before the collision must be equal to the momentum after the collision.
[tex]P = m_1 v_1 = (m_1 + m_2)v_{1+2} \\ v_1 = \frac{(m_1 + m_2)v_{1+2}}{m_1} [/tex]
Solve for v₁.
