Suppose that a woman weighing 130 lb and wearing high-heeled shoes momentarily places all her weight on the heel of one foot. If the area of the heel is 0.50 in.2, calculate the pressure exerted on the underlying surface in a. 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 in bars so we know that pressure equals force over area and force equals mass times acceleration and our acceleration is 9. meters per second squared. So our force is going to equal 8.42 kg Times 9.8 meters per second squared, And that equals .516 kg times meter per second square And that equals 82 . Newtons. So our pressure is going to equal 82.516 Newtons Divided by 0. meter squared, And that equals 0.60 newtons per meter squared, Which equals .60 Pascal's one bar Equals to the 5th pascal's. So our pressure is going to equal 0.60 pascal's times one bar over 10 to the 5th Pascal's and our pascal's are canceling out And that gives us 1.15 Times 10 to the -3 bars. And that is our final answer. Thank you for watching. Bye.