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Solve A mass m₁ = 3 kg moving at v₁ = 13 m/s hits a stationary m₂ = 10 kg in a perf... — Step-by-Step Solution by AhaStep | AhaStep

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⚛️ PhysicsLevel 2 — 🟢 Basicelastic_collision👁 20 views⏱ 1 min read

Solve A mass m₁ = 3 kg moving at v₁ = 13 m/s hits a stationary m₂ = 10 kg in a perf... — Step-by-Step Solution by AhaStep

📝 Problem

A mass m₁ = 3 kg moving at v₁ = 13 m/s hits a stationary m₂ = 10 kg in a perfectly elastic collision. Find post-collision velocities.

✨Detailed Solution

1. Elastic Collision: Completely elastic collisions conserve both momentum and kinetic energy:

1. Conservation of Momentum:

2. Conservation of Kinetic Energy: ½m_1(v_1)² + ½m_2(v_2)² = ½m_1(u_1)² + ½m_2(u_2)².

3. Yields relative velocity relation:

🔒 2 steps remaining

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1. Elastic Collision: Completely elastic collisions conserve both momentum and kinetic energy:

1. Conservation of Momentum:

2. Conservation of Kinetic Energy: ½m_1(v_1)² + ½m_2(v_2)² = ½m_1(u_1)² + ½m_2(u_2)².

3. Yields relative velocity relation:

🔒 2 steps remaining