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Calculate the total pressure at the bott...

Calculate the total pressure at the bottom of a lake of depth 5.1 m (atm pressure `=10^(5)` P), density of water `=10^(3)kg//m^(3),g=10m//s^(2)`

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A vessel full of water has a bottom of area 20 cm^(2) , top of area 20 cm^(2) , height 20 cm and volume half a litre as shown in figure. (a) find the force exerted by the water on the bottom. (b) considering the equilibrium of the water, find the resultant force exerted by the sides of the glass vessel on the water. atmospheric pressure =1.0xx10^(5) N//m^(2) . density of water =1000 kg//m^(3) and g=10m//s^(2)

An experimentally decided formula for relation between pressure and density of x a liquid is (P)/(P_("atm"))=(B+1)((d)/(d_("atm")))^(n)-B B and n are constant. P_("atm") is atmospheric pressure and d_("atm") is the density of liquid at that pressure. For water numerical values of B=3000 and n=7. Take atmospheric pressure=100kPa and density of water =10^(3) kg//m^(3) at atmospheric pressure. At what depth is the density of water increase by 0.001%.

Knowledge Check

  • If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquid gets changed. In liquid ( a_(y) ) for calculation of pressure, effective g is used. A closed box horizontal base 6 m by 6 m and a height 2m is half filled with liquid. It is given a constant horizontal acceleration g//2 and vertical downward acceleration g//2 . Water pressure at the bottomof centre of the box is equal to (atmospheric pressure =10^(5)N//m^(2) density of water =1000 kg//m^(3),g=10m//s^(2) )

    A
    `1.1MPa`
    B
    `0.11MPa`
    C
    `0.101MPa`
    D
    `0.011MPa`
  • What is the pressure at the bottom of the ocean at a place where it is 3 km deep ? [atmospheric pressure =1.01 xx10^(5)Pa, Density of sea water =1030kg m ^(-30)]

    A
    `1.01xx10^(5)Pa`
    B
    `3xx10^(5)Pa`
    C
    `1.01xx10^(7)Pa`
    D
    `3xx10^(7)Pa`
  • A body is experiencing an atmospheric pressure of 1.01xx10^(5)N//m^(2) on the surface of a pond. The body will experience double of the previous pressure if it is brought to a depth of (given density of pond water =1.03xx10^(3)kg//m^(2) , g=10m//s^(2) )

    A
    `8m`
    B
    `8.6m`
    C
    `9.7m`
    D
    `10.3m`
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