Problem 4. The gravitational force exerted by an object is given by F= mg where

Question

Problem 4. The gravitational force exerted by an object is given by F= mg where F is the force in a Use the definition of the pascal to calculate the mass (in kg) of the atmosphere above 1 m2 b Osmium(Z= 76) is a transition metal in Group 8 and has the highest density of any element newtons, m in the mass in kilograms, and g is the acceleration due to gravity (9.81 m/s2). of ocean (22.6 g/mL). If an osmium column is 1 m2 in area, how high must it be for the pressure to equal atmospheric pressure'?

Explanation / Answer

a. 1 atm = 1.01325*105 Pa = 1.01325*105 N/m2

i.e. The force on 1 m2 of ocean = 1.01325*105 N

Given that F = mg

i.e. 1.01325*105 N = m * 9.81 m/s2

i.e. m = 1.01325*105 Kg m s-2 / 9.81 m s-2

i.e. m = 1.033*104 Kg

b. The mass obtained = 1.033*104 Kg/m2

= 1.033*104*103 g/(102 cm)2

= 1033 g/cm2

The density of Os = 22.6 g/mL

= 22.6 g/cm3

Now, the required height = (1033 g/cm2)/(22.6 g/cm3) = 45.7 cm = 0.457 m

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