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20 August, 22:46

A 1490-kg car is moving due east with an initial speed of 29.5 m/s. After 9.14 s the car has slowed down to 18.8 m/s. Find the magnitude of the net force that produces the deceleration.

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  1. 20 August, 22:56
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    The magnitude of the net force that produces the deceleration = 1744 N

    Explanation:

    Using the equations of motion, we can find the deceleration of the car and thereby find the magnitude of the met force that produces such deceleration

    v = u + at

    where v = final velocity = 18.8 m/s

    u = initial velocity = 29.5 m/s

    t = 9.14 s

    a = ?

    v = u + at

    18.8 = 29.5 + 9.14a

    9.14a = 18.8 - 29.5 = - 10.7

    a = - 1.171 m/s²

    Magnitude of Force causing deceleration = ma = 1490 * 1.171 = 1744 N
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