An unnamed professor is walking to class when an office chair (travelling in the same direction) collides with them. The professor fails int

Question

An unnamed professor is walking to class when an office chair (travelling in the same direction) collides with them. The professor fails into the chair and remains in the chair after collision. The professor, with a mass of 113kg, is travelling at 1.56 m/s. The chair has a velocity of 6.5 m/s, and a mass of 10kg. After the collision, and ignoring any effects of professor falling, what would be the speed of the chair professor system

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Trung Dũng 1 year 2021-09-01T11:54:43+00:00 1 Answers 15 views 0

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    2021-09-01T11:56:29+00:00

    Answer: 1.96 m/s

    Explanation:

    Given

    Mass of Professor [tex]m_1=113\ kg[/tex]

    Velocity of professor [tex]u_1=1.56\ m/s[/tex]

    mass of chair [tex]m_2=10\ kg[/tex]

    velocity of chair [tex]u_2=6.5\ m/s[/tex]

    Suppose  after the collision, v is the common velocity

    Conserving momentum

    [tex]\Rightarrow m_1u_1+m_2u_2=(m_1+m_2)v\\\\\Rightarrow v=\dfrac{113\times 1.56+10\times 6.5}{113+10}=\dfrac{241.28}{123}\\\\\Rightarrow v=1.96\ m/s[/tex]

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