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The mass of 1 cubic meter of air at sea level is about 1.38 kg. How much does it

ID: 1475977 • Letter: T

Question

The mass of 1 cubic meter of air at sea level is about 1.38 kg.
How much does it weigh in Newtons?
How much would a stack of 7.47E+3 such cubes weight?
If this total weight were applied to an area of 1 m^2, how much pressure would it produce on that surface? (Answer in N/m^2)
NOTE: the answer should look familiar. (Although the atmosphere actually gets less dense with increasing altitude, the total amount of air is the same as if these sea-level cubes were stacked some 8 km high.) The mass of 1 cubic meter of air at sea level is about 1.38 kg.
How much does it weigh in Newtons?
How much would a stack of 7.47E+3 such cubes weight?
If this total weight were applied to an area of 1 m^2, how much pressure would it produce on that surface? (Answer in N/m^2)
NOTE: the answer should look familiar. (Although the atmosphere actually gets less dense with increasing altitude, the total amount of air is the same as if these sea-level cubes were stacked some 8 km high.)
How much does it weigh in Newtons?
How much would a stack of 7.47E+3 such cubes weight?
If this total weight were applied to an area of 1 m^2, how much pressure would it produce on that surface? (Answer in N/m^2)
NOTE: the answer should look familiar. (Although the atmosphere actually gets less dense with increasing altitude, the total amount of air is the same as if these sea-level cubes were stacked some 8 km high.)

Explanation / Answer

Expression for weight

W = mg = ( 1.38 kg ) ( 9.8 m/s2 ) = 13.5 N

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Total mass of 7.47E+3 ice cubes : ( 7.47E+3) ( 1.38 kg ) = 10308.6 kg

Now find weight:

W = mg = ( 10308.6 kg )( 9.8 m/s2 ) = 1.01 x 105 N

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Pressure at the bottom is calculated by using the following formula

P = F /A =  1.01 x 105 N / m2