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20 December, 07:54

Children in a tree house lift a small dog in a basket 4.90m up to their house. If it takes 201J of work to do this, what is the combined mass of the dog and basket?

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  1. 20 December, 08:03
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    4.18 kg.

    Explanation:

    Work done: Work is said to be done when ever a force move a body through a given distance. The S. I unit of work done is Joules (J)

    Mathematically, work done is expressed as

    W' = F*d ... Equation 1

    Where W' = work done, F = force, d = distance.

    making F the subject of the equation,

    F = W'/d ... Equation 2

    Note: The force need to lift the small dog n a basket = combined weight of the dog ans the basket.

    Therefore,

    W = F

    Where W = combined weight of the dog and the basket.

    Also

    W = Mg

    M = W/g ... Equation 3

    Where M = combined mass of the dog and the basket, g = acceleration due to gravity.

    Given: W' = 201 J, d = 4.90 m.

    Substitute into equation 2

    F = 201/4.9

    F = 41.02 N.

    Since F = W = 41.02 N and g = 9.81 m/s²

    Substitute these values into equation 3

    M = 41.02/9.81

    M = 4.18 kg.

    Thus the combined mass of the dog and the basket = 4.18 kg.
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