Edits to “Statement”, “Solution”
en/2.2.6.md
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| @@ -1,11 +1,5 @@ | |||
| ### Statement | |||
| − | $2.2.6.$ [Insert the problem statement] | ||
| − | |||
| − | ### Solution | ||
| − | |||
| − | ### Statement | ||
| − | |||
| $2.2.6.$ Sisters are standing on ice skates on smooth ice. The older one pushes the younger one. Both start rolling, but the younger one with a noticeably greater speed than the older one. "Let me push you now," says the younger one. Contrary to her expectations, she again rolls back with a greater speed than the older sister, and by the same factor as before. Why does this happen? | |||
| ### Solution | |||
| From the law of conservation of momentum: | |||
| $$\vec{p}_1 + \vec{p}_2 = \vec{0}$$ | |||
| @@ -15,7 +9,3 @@Solution | |||
| $$m_1 v_1 = m_2 v_2$$ | |||
| $$v_1/v_2 = m_2/m_1$$ | |||
| From the resulting expression, it is clear that the speeds of the sisters will always relate as the inverse ratio of their masses. | |||
| − | |||
| − | #### Answer | ||
| − | |||
| − | [Insert a concise answer or boxed result] | ||
| @@ -1,11 +1,5 @@ | |||
| ### Statement | ### Statement | ||
| $2.2.6.$ [Insert the problem statement] | |||
| ### Solution | |||
| ### Statement | |||
| $2.2.6.$ Sisters are standing on ice skates on smooth ice. The older one pushes the younger one. Both start rolling, but the younger one with a noticeably greater speed than the older one. "Let me push you now," says the younger one. Contrary to her expectations, she again rolls back with a greater speed than the older sister, and by the same factor as before. Why does this happen? | $2.2.6.$ Sisters are standing on ice skates on smooth ice. The older one pushes the younger one. Both start rolling, but the younger one with a noticeably greater speed than the older one. "Let me push you now," says the younger one. Contrary to her expectations, she again rolls back with a greater speed than the older sister, and by the same factor as before. Why does this happen? | ||
| ### Solution | ### Solution | ||
| From the law of conservation of momentum: | From the law of conservation of momentum: | ||
| $$\vec{p}_1 + \vec{p}_2 = \vec{0}$$ | $$\vec{p}_1 + \vec{p}_2 = \vec{0}$$ | ||
| @@ -15,7 +9,3 @@Solution | |||
| $$m_1 v_1 = m_2 v_2$$ | $$m_1 v_1 = m_2 v_2$$ | ||
| $$v_1/v_2 = m_2/m_1$$ | $$v_1/v_2 = m_2/m_1$$ | ||
| From the resulting expression, it is clear that the speeds of the sisters will always relate as the inverse ratio of their masses. | From the resulting expression, it is clear that the speeds of the sisters will always relate as the inverse ratio of their masses. | ||
| #### Answer | |||
| [Insert a concise answer or boxed result] | |||