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23 June, 12:51

a Car with a mass of 2000 kg is moving around a circular curve at a uniform velocity of 25 m/s the curve has a radius of 80 m what is a centripetal force on the car

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  1. 23 June, 16:23
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    Well, first of all, the car is not moving at a uniform velocity, because,

    on a curved path, its direction is constantly changing. Its speed may

    be constant, but its velocity isn't.

    The centripetal force on a mass 'm' that keeps it on a circle with radius 'r' is

    F = (mass) · (speed) ² / (radius).

    For this particular car, the force is

    (2,000 kg) · (25 m/s) ² / (80 m)

    = (2,000 kg) · (625 m²/s²) / (80 m)

    = (2,000 · 625 / 80) (kg · m / s²)

    = 15,625 newtons.
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