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12 March, 01:48

The following objects have velocity and mass as given: Object A: m=5 kg, ⃗v=-11 ^j Object B: m=6 kg, ⃗v=5^ i + 8.7 ^ j Object C: m=10 kg, ⃗v=-10 ^i Find the x - and y-components of the net momentum of the system objects if we define the system to consist of (a) objects A and C (b) objects B and C (c) objects A, B, and C

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  1. 12 March, 02:23
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    For object A

    m = 5 kg, v = - 11 j

    For B object

    m = 6 kg, v = 5 i + 8.7 j

    For object C

    m = 10 kg, v = - 10 i

    We know that

    Linear momentum P = m v kg. m/s

    a) A and C

    Momentum in y direction

    Py = - 5 x 11 j = - 55 j kg. m/s

    Momentum in x direction

    Px = - 10 x 10 j = - 100 i kg. m/s

    b) B and C

    Momentum in y direction

    Py=6 x 8.7 j = 52.2 j kg. m/s

    Momentum in x direction

    Px = (6 x 5 - 10 x 10) i = - 70 i kg. m/s

    c) A, B and C

    By using data of a and b

    Momentum in y direction

    Py = 6 x 8.7 - 5 x 11 j = - 2.8 j kg. m/s

    Momentum in x direction

    Px = 6 x 5 - 10 x 10 i = - 70 i kg. m/s
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