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Atoms And Molecules

Question
CBSEENSC9006155

How much pressure will a man of weight 80 kgf exert on the ground if (i) he is lying and (ii) he is standing on his feet? Given that the area of the body of the man is 0.6 m2 and that of a foot is 80 cm2.

Solution

Given comma space

Force comma space straight F space equals space 80 space kgf space equals space 80 space cross times space 9.8 space straight N
left parenthesis straight i right parenthesis space When space the space man space is space lying space on space the space ground comma

Area comma space space straight A space equals space 0.6 space straight m squared
So comma space Pressure comma space straight P space equals space straight F over straight A space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 80 space cross times space 9.8 over denominator 0.6 end fraction space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.307 space cross times space 10 cubed space straight N divided by straight m squared. space

left parenthesis ii right parenthesis space When space the space man space is space standing space on space his space feet comma

Area comma space space straight A space equals space 2 space cross times 80 space cm squared space equals space 160 space cross times space 10 to the power of negative 4 end exponent straight m squared

Pressure comma space straight P space equals space straight F over straight A space
space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 80 space cross times 9.8 over denominator 160 space cross times 10 to the power of negative 4 end exponent end fraction space equals space 4.9 space cross times space 10 to the power of 4 space straight N divided by straight m squared.