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To find the mass of a cube with side length ( m ) that exerts a pressure ( N ) on the ground, we can use the relationship between pressure, force, and area. Pressure is defined as ( P = \frac{F}{A} ), where ( F ) is the force (or weight) and ( A ) is the area of the base of the cube. The area ( A ) of one face of the cube is ( m^2 ), and the weight ( F ) can be expressed as ( F = mg ), where ( g ) is the acceleration due to gravity. Setting ( N = \frac{mg}{m^2} ) and solving for mass ( m ) gives ( m = \frac{N m^2}{g} ).

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3mo ago

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Who exerts more pressure on the ground a 500n woman standing in high heels with a total area of 0.005 m cube or the same woman standing in work boots with a total area of 0.05 m cube calculate both?

To calculate the pressure exerted on the ground, we use the formula ( \text{Pressure} = \frac{\text{Force}}{\text{Area}} ). For the woman in high heels: [ \text{Pressure} = \frac{500 , \text{N}}{0.005 , \text{m}^2} = 100,000 , \text{Pa} ] For the woman in work boots: [ \text{Pressure} = \frac{500 , \text{N}}{0.05 , \text{m}^2} = 10,000 , \text{Pa} ] Thus, the woman in high heels exerts significantly more pressure on the ground than when she is in work boots.


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