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31 January, 02:57

What net external force is required to accelerate a 155kg automobile form rest to a speed of 100km/hr in 10 seconds?

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  1. 31 January, 04:00
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    Force = (mass) x (acceleration)

    The mass is easy ... it's 155 kg.

    The acceleration isn't so easy, mainly because of the units.

    In order to get a force in newtons, the acceleration has to be in m/s².

    That will take some work.

    Acceleration = (change of speed) / time = (100 km/hr) / (10 sec).

    (100 km/hr) x (1,000 m/km) x (1 hour / 3,600 sec) = 1000/36 m/s

    Acceleration = (1000/36 m/s) / (10sec) = (100/36) m/s²

    Force = (mass) x (acceleration) =

    (155 kg) x (100/36 m/s²) =

    15,500/36 kg-m/s² = 430 and 5/9 newtons=

    about 96.9 pounds.

    (That's not much force ... mainly because your car only weighs

    about 342 pounds.)
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