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25 March, 16:03

A car with a mass of 1.1 * 103 kilograms hits a stationary truck with a mass of 2.3 * 103 kilograms from the rear end. The initial velocity of the car is + 22.0 meters/second. After the collision the velocity of the car is - 11.0 meters/second. What is the velocity of the truck after this elastic collision?

A.+13 meters/second

B.+20 meters/second

C.+15.7 meters/second

D.+7.5 meters/second

E.+9.8 meters/second

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  1. 25 March, 17:14
    0
    The answer is C : 15.7 m/s

    Use the idea of : momentum before collision = momentum after collision

    Before collision;

    For car:mass=1.1*10^3, velocity=22

    For truck:mass=2.3*10^3, velocity=0

    After collision;

    For car:mass=2.3*10^3, velocity=-11

    For truck:mass=2.3*10^3, velocity=V

    (1.1*10^3 * 22) + (2.3*10^3 * 0) = (1.1*10^3 * - 11) + (2.3*10^3 * V)

    24200 = - 12100 + 2.3*10^3V

    2.3*10^3V = 36300

    V = 15.7 m/s
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