The magnitude of the total momentum will be "7.38 kg.ms⁻¹".
Given:
Mass,
- \(m_1 = 7.28 \ kg\)
- \(m_2 = 5.45 \ mg\)
Speed,
- \(v_1 = 8.5 \ m/s\)
- \(v_2 = 10 \ m/s\)
By using the law of conservation of linear momentum, we get
→ \(P_{initial} = P_{final}\)
or,
→ \(P_{final } = m_1\vec{v_{1i}}+m_2\vec{v_{2i}}\)
By substituting the values, we get
\(|P_{final}|= 7.28\times 8.5-5.45\times 10\)
\(=61.88-54.5\)
\(= 7.38 \ kg.ms^{-1}\)
Thus the above approach is correct.
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