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March 26, 2017

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A square pool with 100-m-long sides is created in a concrete parking lot. The walls are concrete 87 cm thick and have a density of 2.5 g/cm3. The coefficient of static friction between the walls and the parking lot is 0.42. What is the maximum possible depth of the pool? (The density of water is 1000 kg/m3.)

  • physics - ,

    The horizontal pressure on the wall is densitywater*g*depth/2

    The force of friction on wall is
    mu*densityconcrete*depth*.87*100*g

    setting these two equal
    pressure*area=frictionforce
    densitywater*g*depth/2*depth*100=mu*denstiyconcrete*g*depeth*.87*100

    depth=2*.87*mu*densityconcrete/densitywater. check my math.

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