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19 June, 21:28

Plastic foam is about 0.10 times as dense as water. What weight of bricks could you stack on a 1m x 1m x 0.10m slab of foam, so that the slab of foam floats in the water, leaving the bricks dry?

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  1. 19 June, 21:40
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    Answer: Weight = 98.1N

    Explanation:

    Density of water = 1000 kg/m^3

    Given that the Plastic foam is about 0.10 times as dense as water. That is,

    Density of plastic foam = 0.1 * 1000 = 100kg/m^3

    The volume V = 1 * 1*0.1 = 0.1 m^3

    Density is the ratio of mass to volume

    Density = mass/volume

    Let us substitute for density and volume to get mass.

    100 = M/0.1

    Make M the subject of formula

    M = 100 * 0.1 = 10 kg

    Weight = mg

    Where g = 9.81 m/s

    Substitute the M and g into the formula

    Weight = 10 * 9.81 = 98.1 N

    Therefore, the weight of the brick is 98.1 N
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