high School⏱ 4 min

Elastic Collision

Conservation of momentum and energy

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4 kg2 kg1.50 m/s0.00 m/sp = 6.00 kg·m/s (before and after)

Elastic collision (cart 2 at rest)

v2=2m1m1+m2u1=2.00 msv_2 = \frac{2m_1}{m_1+m_2}u_1 = 2.00\,\tfrac{\text{m}}{\text{s}}

v₁ = 0.50 m/s

• Both momentum and energy are conserved • m₁ = m₂: cart 1 stops, cart 2 takes over the speed • m₁ < m₂: cart 1 bounces back (v₁ < 0)