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6 April, 03:52

A curve in a road forms part of a horizontal circle. as a car goes around it at constant speed 14.0 m/s, the horizontal total force on the driver has magnitude 146 n. what is the total horizontal force on the driver if the speed on the same curve is 19.8 m/s instead

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  1. 6 April, 04:23
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    Because that part of the road is a circle we can use the radial force equation of circular motion

    F=mv^2/r

    Here we don't know m or r but we can solve for the ratio m/r since we are given the force at a known velocity v. Rewriting with this info:

    146 = (m/r) (14^2)

    146 = (m/r) (196)

    146/196=m/r

    0.745=m/r

    Now we use this to get the answer

    F=0.745 (19.8^2) = 292N
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