A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight car. If the sp

Question

A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight car. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?

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Thành Công 1 week 2021-07-22T05:01:57+00:00 1 Answers 0 views 0

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    2021-07-22T05:03:36+00:00

    Answer:

    933. 3kg

    Explanation:

    We are given that

    Mass,m=2000 kg

    Initial speed,u=4.4 m/s

    We have to find the maximum mass of grain if the speed of loaded freight car must not go below 3.0 m/s.

    Final speed,v=3 m/s

    By conservation of momentum

    Initial momentum=Final momentum

    mu=m'v

    Substitute the values

    2000\times 4.4=m'(3)

    m'=\frac{2000\times 4.4}{3}

    m'=2.93\times 10^3 kg

    Mass of freight loaded car=2933.3 kg

    Mass of grains=2933.3-2000=933.3 kg

    Hence, the maximum  mass of grains that it can accept=933.3 kg

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