Question

You weigh 130 pounds, and each of your feet has an area of 280 cm^2.Note that a weight of 2.2 pounds has a mass of 1 kilogram.How much pressure do you exert on Earth when standing on TWO feet?

Answer 1

`\begin{equation*} 10,340.89\text{ }N\/m^2 \end{equation*}`

Step-by-step explanation

First, we have to convert the weight from pounds to kilogram:

`\begin{gathered} 2.2lbs=1kg \\ 130lbs=(130)/(2.2)kg=59.09kg \end{gathered}`

Now, we can find the force exerted on the ground by applying the formula for force:

`\begin{gathered} F=ma=mg \\ F=59.09*9.8 \\ F=579.09N \end{gathered}`

Now, we find the pressure exerted by dividing the force exerted on the ground by the area covered by both feet in square meters:

`\begin{gathered} P=(F)/(A) \\ \\ P=(579.09)/(2*280*0.0001) \\ \\ P=10,340.89\text{ }N\/m^2 \end{gathered}`

That is the answer.