A woman wearing high-heeled shoes stands on a wooden floor. Her total weight is 480N and acts equally on each foot.
Sometimes all this weight acts on the soles of her shoes. What is the pressure under her soles?
To calculate the pressure under the soles of her shoes, we need to divide the total force (weight) by the area over which it is distributed. In this case, we have a total weight of 480N acting equally on each foot.
Since the weight is evenly distributed between the two feet, we can calculate the pressure under one sole. Divide the total weight by the area of one sole. However, we need to make an assumption about the contact area between the sole and the floor. Let's assume that the contact area of each sole is 100 cm^2 (0.01 m^2).
The formula to calculate pressure is:
Pressure = Force / Area
Pressure (under one sole) = 480N / (0.01 m^2)
Pressure (under one sole) = 48,000 Pa (Pascal)
So, the pressure under one sole of her shoes is 48,000 Pascal.
It's important to note that the actual contact area between the sole and the floor may vary depending on factors such as shoe design and the weight distribution on each foot. So, this calculation is based on the assumption of a contact area of 100 cm^2 for each sole.