A person weighing 75 kg is standing on a threelegged stool. The stool momentarily tilts so that the entire weight is on one foot. If the contact area of each foot is 5.0 cm2, calculate the pressure exerted on the underlying surface in (c) pounds per square inch

Video transcript

Hi everyone today. We have a question telling us that a sample of gas is held inside a cylinder equipped with a movable piston that has an area of 0.720 m squared. If a mass of 8.42 kg is pushing down on the piston, calculate the pressure exerted on the gas and pounds per square inch. So we know that pressure equals force divided by area and one kg Equals £2.205. And with this information we can calculate the force. So m is going to equal 8. kilograms Times 2. lb over one kg. And our kilograms are going to cancel out. And that gives us 18. £61. And again, that is our force. Now we need to know that one cm equals 10 To the negative 2nd m and one inch Equals 2.54 cm. And now we can calculate the area. So the area is going to equal 0.720 m squared, times one centimeter Over 10 to the negative 2nd m. And that is all squared times one inch Over 2.54 cm and that is all squared. So our meters are canceling out and our centimeters are canceling out leaving us with inches And that gives us 1,116" squared. So now we can calculate for our pressure. So our pressure is going to equal .5661 pounds. And we're going to divide that by 1,116 inches squared, And that equals 0. pounds per inch squared. And that is our final answer. Thank you for watching. Bye.