8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track o

Question

8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate the net accelerating force

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Minh Khuê 3 years 2021-09-05T12:58:40+00:00 1 Answers 8 views 0

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  1. ThanhThu
    0
    2021-09-05T13:00:38+00:00
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    Answer:

    The net force of engine on total mass of train is 35000 N

    The net acceleration is 1.944 m/s²

    Explanation:

    Here we have;

    Mass of each wagon of train = 2000 kg

    Number of wagons = 5

    Total mass of wagons = 5 × 2000 = 10000 kg

    Mass of engine = 8000 kg

    Total mass, m of train (engine plus wagons) = 10000 + 8000 = 18000 kg

    Force exerted by train = 40000 N

    Friction force due to the railway track = 5000 N

    Net force, F of engine on total mass of train = 40000 – 5000 = 35000 N

    Formula for force, F = Mass, m × Acceleration, a  

    35, 000 = 18,000 × a

    a = 35,000/18,000 = 35/18 m/s²

    a = 1\tfrac{17}{18} \ m/s^2

    The net acceleration = 1.944 m/s².

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