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15 February, 19:48

g A 47.3 kg girl is standing on a 162 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.36 m/s relative to the plank. What is her velocity relative to the ice surface

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  1. 15 February, 20:00
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    mass of the girl m₁ = 47.3 kg

    mass of the plank m₂ = 162 kg

    velocity of the girl with respect to surface = v₁

    velocity of plank with respect to surface = v₂

    v₁ + v₂ = 1.36

    v₂ = 1.36 - v₁

    applying conservation of momentum law to girl and plank.

    m₁v₁ = m₂v₂

    47.3 x v₁ = 162 x (1.36 - v₁)

    47.3 v₁ = 220.32 - 162v₁

    209.3 v₁ = 220.32

    v₁ = 1.05 m / s
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