Two clouds collide and form another, more massive cloud. One cloud is stationary, while the other is traveling at 1 m/s. After the collision

Question

Two clouds collide and form another, more massive cloud. One cloud is stationary, while the other is traveling at 1 m/s. After the collision, the new, combined cloud travels with a velocity of 0.25 m/s. What is the ratio of the masses of the two original clouds

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Gia Bảo 4 years 2021-07-30T20:29:12+00:00 1 Answers 26 views 0

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  1. minhkhang
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    2021-07-30T20:30:18+00:00
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    Answer: 3

    Explanation:

    Given

    One cloud is traveling at rate of u_2=1\ m/s

    combined velocity of the two is v=0.25\ m/s

    Suppose the masses of the clouds be m_1,m_2

    Conserving momentum

    \Rightarrow m_1u_1+m_2u_2=\left(m_1+m_2\right)v\\\text{Divide whole equation by }m_2\\\Rightarrow \dfrac{m_1}{m_2}u_1+u_2=\left(\dfrac{m_1}{m_2}+1\right)v\\\\\Rightarrow 0+1=0.25\dfrac{m_1}{m_2}+0.25\\\\\Rightarrow \dfrac{m_1}{m_2}=\dfrac{0.75}{0.25}\\\\\Rightarrow \dfrac{m_1}{m_2}=3

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