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17 August, 13:19

Two students, standing on skateboards, are initially at rest, when they give each other a shove! After the shove, one student (77kg) moves to the left at 5.7m/s while the other student (59kg) moves right.

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  1. 17 August, 13:46
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    The other student (59kg) moves right at 7.44 m/s

    Explanation:

    Given;

    mass of the first student, m₁ = 77kg

    mass of the second student, m₂ = 59kg

    initial velocity of the first student, u₁ = 0

    initial velocity of the second student, u₂ = 0

    final velocity of the first student, v₁ = 5.7 m/s left

    final velocity of the second student, v₂ = ? right

    Apply the principle of conservation of linear momentum;

    Total momentum before collision = Total momentum after collision

    m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

    (77 x 0) + (59 x 0) = (-77 x 5.7) + (59 x v₂)

    0 = - 438.9 + 59v₂

    59v₂ = 438.9

    v₂ = 438.9 / 59

    v₂ = 7.44 m/s to the right

    Therefore, the other student (59kg) moves right at 7.44 m/s
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