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8 January, 22:17

A 905 kg test car travels around a 3.25 km circular track. If the magnitude of the centripetal force is 2140 N, what is the car's speed?

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  1. 9 January, 01:23
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    Consider that a centripetal force can be written as:

    Fc = m v2 r

    where r is the radius.

    so in your case: circular distance=2πr

    3.25 * 103 = 2⋅3.14⋅r

    remember to change into meters.

    r = 3.25 * 103 6.28 = 517m

    2,140 = 905 * v^2 * 517

    v = √ 1.1 * 106 905 = 34.9 m/s ≈ 35 m/s = 126 km / hr
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