Which situation has the greatest pressure? A. Atmospheric pressure at sea level, equal to 1.01 X 105 N/m2 B. The pressure that a person of mass 70 kg exerts on the floor when she balances on the ball of one foot, with an area of contact of 50 cm2 C. The pressure that a physics textbook of mass 2.5 kg exerts on a desk when it is lying flat on the desk, with an area of contact of 22 cm X 28 cm

Respuesta :

Answer:

The correct option is B

Explanation:

In part A pressure is given as [tex]1.01*10^5 N/m[/tex]

In Part B we can calculate the pressure using the formula

        [tex]P = \frac{F}{A}[/tex]

Where F is the force which in this case is weight which can be obtained as follow

            W = Mg

Substituting 70kg for M and [tex]9.8m/s^2[/tex] for g

              [tex]W = 70 *9.8[/tex]

                  [tex]=686N[/tex]

A is the area with a value [tex]50cm^2 = \frac{50}{10000} = 5.0*10^{-3}m^2[/tex]

So substituting into the above equation

              [tex]P = \frac{686}{5.0*10^{-3}}[/tex]

                  [tex]= 1.37 *10^5 N/m^2[/tex]                      

for part c

    A  [tex]= 22*28 cm^2= \frac{22*28}{10000}m^2[/tex]

          [tex]=6.16*10^{-2}m^2[/tex]

     F  [tex]= 2.5 * 9.8[/tex]

        [tex]= 24.525N[/tex]

Therefore [tex]P = \frac{24.252}{6.16*10^{-2}}[/tex]

                    [tex]= 298 N/m^2[/tex]

From this we see that the value of P for part B is the greatest