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15 August, 09:03

Superman must stop a 115-km/h train in 160 m to keep it from hitting a stalled car on the tracks. The train's mass is 3.6 * 105 kg. Determine the force that must be exerted on the train.

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  1. 15 August, 10:18
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    1.148*10^6 N

    Explanation:

    The kinetic energy of the train is ...

    KE = (1/2) mv^2 = (1/2) (3.6*10^5 kg) (115 km/h * (1000 m/km) / (3600 s/h)) ^2

    ≈ 1.83681*10^8 J

    This is the work required to stop the train, so is ...

    F·d = KE

    F = KE/d = (1.83681*10^8 J) / (160 m) = 1.148*10^6 N

    The force required to stop the train is 1.148*10^6 newtons.
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