TS EAMCET · Physics · Center of Mass Momentum and Collision
Two bodies of \(6 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) masses have their velocity \(5 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+10 \hat{\mathbf{k}}\) and \(10 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) respectively. Then the velocity of their centre of mass is
- A \(5 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-8 \hat{\mathbf{k}}\)
- B \(7 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-8 \hat{\mathbf{k}}\)
- C \(7 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}\)
- D \(5 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}\)
Answer & Solution
Correct Answer
(C) \(7 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+8 \hat{\mathbf{k}}\)
Step-by-step Solution
Detailed explanation
Given, \(m_1=6 \mathrm{~kg}, m_2=4 \mathrm{~kg}\) \(\overrightarrow{\mathbf{v}}_1=5 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+10 \hat{\mathbf{k}}, \quad \overrightarrow{\mathbf{v}}_2=10 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) The velocity of centre of mass is…
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