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21 January, 07:53

A 9.4 kg dog takes a nap in a canoe and wakes up to find the canoe has drifted out onto the lake but now is stationary. He walks along the length of the canoe at 0.48 m/s, relative to the water, and the canoe simultaneously moves in the opposite direction at 0.16 m/s. Part A

What is the mass of the canoe?

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Answers (1)
  1. 21 January, 09:43
    0
    28.2 kg

    Explanation:

    Data provided in the question:

    Mass of dog, m = 9.4 kg

    Velocity of the dog with respect to water, v = 0.48 m/s

    Velocity of the canoe, V = - 0.16 m/s [ - sign means velocity in opposite direction]

    Now,

    Let the mass of canoe be 'M'

    Therefore,

    From the conservation of momentum, we have

    ⇒ mv + MV = 0

    or

    ⇒ 9.4 * 0.48 + M ( - 0.16) = 0

    or

    ⇒ 4.512 - 0.16M = 0

    or

    ⇒ 0.16M = 4.512

    or

    ⇒ M = 28.2 kg
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