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A mass raA = 2.0 kg, moving with velocity \ A =(4.0i +
Chapter 9, Problem 9.19(choose chapter or problem)
(II) A mass \(m_{\mathrm{A}}=2.0 \mathrm{~kg}\), moving with velocity \(\overrightarrow{\mathbf{v}}_{\mathrm{A}}=(4.0 \hat{\mathbf{i}}+5.0 \hat{\mathbf{j}}-2.0 \hat{\mathbf{k}}) \mathrm{m} / \mathrm{s}\), collides with mass \(m_{\mathrm{B}}=3.0 \mathrm{~kg}\), which is initially at rest. Immediately after the collision, mass \(m_{\mathrm{A}}\) is observed traveling at velocity \(\overrightarrow{\mathbf{v}}_{\mathbf{A}}^{\prime}=(-2.0 \hat{\mathbf{i}}+3.0 \hat{\mathbf{k}}) \mathrm{m} / \mathrm{s}\). Find the velocity of mass \(m_{\mathrm{B}}\) after the collision. Assume no outside force acts on the two masses during the collision.
Questions & Answers
QUESTION:
(II) A mass \(m_{\mathrm{A}}=2.0 \mathrm{~kg}\), moving with velocity \(\overrightarrow{\mathbf{v}}_{\mathrm{A}}=(4.0 \hat{\mathbf{i}}+5.0 \hat{\mathbf{j}}-2.0 \hat{\mathbf{k}}) \mathrm{m} / \mathrm{s}\), collides with mass \(m_{\mathrm{B}}=3.0 \mathrm{~kg}\), which is initially at rest. Immediately after the collision, mass \(m_{\mathrm{A}}\) is observed traveling at velocity \(\overrightarrow{\mathbf{v}}_{\mathbf{A}}^{\prime}=(-2.0 \hat{\mathbf{i}}+3.0 \hat{\mathbf{k}}) \mathrm{m} / \mathrm{s}\). Find the velocity of mass \(m_{\mathrm{B}}\) after the collision. Assume no outside force acts on the two masses during the collision.
ANSWER:Step 1 of 2
The conservation of linear momentum, the general law of physics, according to which the quantity called momentum that characterizes motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant.