The density of un-set concrete is 2.40 x 10 3 kg/m 3 . When a block with volume 0.0708 m 3 is submerged in the liquid, a force of 66.7

Question

The density of un-set concrete is 2.40 x 10 3 kg/m 3 . When a block with volume 0.0708 m 3 is
submerged in the liquid, a force of 66.7 N is needed to keep it from sinking.
Find the weight of the block?

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Tài Đức 4 years 2021-08-02T20:41:15+00:00 1 Answers 7 views 0

Answers ( )

  1. thongdat2
    0
    2021-08-02T20:42:20+00:00
    Reply

    Answer:

    1665 N

    Explanation:

    The weight of an object is the gravitational force that pulls the object towards the Earth’s centre. Its magnitude is given by

    W=mg

    where

    m is the mass of the object

    g is the acceleration due to gravity

    The mass of an object can be rewritten as

    m=\rho V

    where

    \rho is the density of the material

    V is the volume of the object

    So the weight can be rewritten as

    W=\rho V g

    For the block of concrete in this problem we have:

    \rho = 2.40\cdot 10^3 kg /m^3 is the density of concrete

    V=0.0708 m^3 is the volume of the block

    g=9.8 m/s^2is the acceleration due to gravity

    So the weight of the block is:

    W=(2.40\cdot 10^3)(0.0708)(9.8)=1665 N

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