Answer:
Car B has a mass of 800 kg.
General Formulas and Concepts:
Momentum
Law of Conservation of Momentum: [tex]\displaystyle m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_{f}[/tex]
Explanation:
Step 1: Define
Identify variables
[Given] m₁ = 1200 kg
[Given] v₁i = 10 m/s
[Solve] m₂
[Given] v₂i = 0 m/s
[Given] vf = 6 m/s
Step 2: Solve for m₂
- Substitute in variables [Law of Conservation of Momentum]: (1200 kg)(10 m/s) + m₂(0 m/s) = (1200 kg + m₂)(6 m/s)
- Multiply: 12000 kg · m/s = (1200 kg + m₂)(6 m/s)
- Isolate m₂ term: 2000 kg = 1200 kg + m₂
- Isolate m₂: 800 kg = m₂
