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23 June, 06:23

Kelly is driving a car with a mass of 800 kilograms in a south direction with a speed of 18 meters/second. Dominic is driving a truck with a mass of 1500 kilograms with a velocity of 15 meters/second to the east. They undergo perfectly inelastic collision. What is the magnitude of the final momentum of both the truck and the car.

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  1. 23 June, 06:43
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    We are given

    m1 = 800 kg

    v1 = 18 m/s south

    m2 = 1500 kg

    v2 = 15 m/s east

    Using the momentum balance for perfectly inelastic collision

    Along the x:

    m1v1 + m2v2 = (m1 + m2) vx

    0 + 1500 (15) = (800 + 1500) vx

    vx = 9.78 m/s

    Along the y:

    800 (-18) + 0 = (m1 + m2) vy

    vy = - 6.26 m/s

    The magnitude is

    v = √ (vx² + vy²)

    v = √ (9.78² + (-6.26) ²)

    v = 11.61 m/s
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