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Math Help - Momentum

  1. #1
    Member srirahulan's Avatar
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    Post Momentum

    The mass of gas emitted from the rear of the toy rocket is initially 0.1 kg/s.If the speed relative to the rocket is 50 m/s, and the mass of the rocket is 2 kg.What is the initial acceleration of the rocket?

    In this question How can i use the conservation of momentum? Please help>>>>>
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Momentum

    Using conservation of momentum:

    m_gv_g+m_rv_r=0

    Differentiate with respect to time:

    v_g\frac{dm_g}{dt}+m_r\frac{dv_r}{dt}=0

    Now plug in the given values at time t=0, then solve for the acceleration of the rocket a_r=\frac{dv_r}{dt}.
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