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14 December, 02:35

A 2380 kg car traveling to the west at 20.1 m/s slows down uniformly under a force of 8820 N to the east.

a) How much force would be required to cause the same acceleration on a car of mass 3300 kgb) how far would the car move before stopping?

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  1. 14 December, 03:48
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    a) Force would be required to cause the same acceleration on a car of mass 3300 kg is 12229.41 N to the east. b) Distance traveled before stopping is 54.45 m

    Explanation:

    a) Force = 8820 N

    Mass = 2380 kg

    We have

    Force = Mass x Acceleration

    -8820 = 2380 x a

    a = - 3.71 m/s²

    Now the mass is 3300 kg

    Force = Mass x Acceleration

    F = 3300 x - 3.71 = - 12229.41 N

    Force would be required to cause the same acceleration on a car of mass 3300 kg is 12229.41 N to the east.

    b) We have equation of motion v² = u² + 2as

    Initial velocity, u = 20.1 m/s

    Acceleration, a = - 3.71 m/s²

    Final velocity, v = 0 m/s

    Substituting

    v² = u² + 2as

    0² = 20.1² + 2 x - 3.71 x s

    s = 54.45 m

    Distance traveled before stopping is 54.45 m
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