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Total kinetic energy conserved before and after
Both momentum and kinetic energy
m1u1+m2u2=m1v1+m2v2m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2m1โu1โ+m2โu2โ=m1โv1โ+m2โv2โ
โ12mv2\sum \frac{1}{2}mv^2โ21โmv2 before = โ12mv2\sum \frac{1}{2}mv^2โ21โmv2 after
u1+v1=v2+u2u_1 + v_1 = v_2 + u_2u1โ+v1โ=v2โ+u2โ
Objects swap velocities
Rebounds: same speed, opposite direction
No friction, heat, or sound losses
Approximately elastic
v1=2u2โu1v_1 = 2u_2 - u_1v1โ=2u2โโu1โ
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