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22 February, 02:49

An 800g cat travels to the left at 8 m/s and a 1000g dog travels to the right at 4 m/s. The total momentum is

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  1. 22 February, 05:38
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    The total momentum of the cat and the dog is, p = 2.4 kg m/s

    Explanation:

    Given,

    The mass of the cat, m = 800 g

    = 0.800 kg

    The mass of the dog, M = 1000 g

    = 1 kg

    The velocity of the cat taken positive x direction, v = 8 m/s

    The velocity of the dog, V = - 4 m/s

    The momentum of the body is defined as the product of its mass and velocity.

    p = mv

    The momentum of the cat,

    p₁ = 0.8 x 8

    = 6.4 kg m/s

    The momentum of the dog,

    p₂ = MV

    = 1 x - 4

    = - 4 kg m/s

    The total momentum,

    p = p₁ + p₂

    = 6.4 + (-4)

    = 2.4 kg m/s

    Hence, the total momentum of the cat and the dog is, p = 2.4 kg m/s
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