240n/2cm^2
240n/40cm^2
A woman wearing high-heeled shoes stands on a wooden floor. Her total weight is 480N and acts equally on each foot. Why are marks left on the wooden floor by the woman's shoe heels but not her shoe soles?
really need help with these questions
You already answered your own question. The pressure (force per unit area) is much greater under the heels.
To solve the first two questions, you need to divide 240n (where n is a variable) by the given values. First, let's solve for 240n/2cm^2:
To divide a number by a unit, you need to multiply the number by the reciprocal of the unit. In this case, you need to multiply 240n by the reciprocal of 2cm^2, which is 1cm^2/2.
240n * (1cm^2/2)
Simplifying the expression, we have:
= 120n cm^2
Now, let's solve 240n/40cm^2:
To divide the number by a unit, you need to multiply the number by the reciprocal of the unit. In this case, you need to multiply 240n by the reciprocal of 40cm^2, which is 1cm^2/40.
240n * (1cm^2/40)
Simplifying the expression, we have:
= 6n cm^2
Now, let's move on to the second question about the marks left on the wooden floor by the woman's shoe heels and soles.
When the woman stands on the wooden floor wearing high-heeled shoes, the weight of her body is exerted on the floor. The force exerted per unit area is known as pressure. The weight is distributed equally between her feet, meaning each foot exerts a force of 480N/2 = 240N.
The reason marks are left by the woman's shoe heels but not her shoe soles is due to the pressure distribution.
The pressure exerted on the wooden floor by the shoe heels is greater compared to the pressure exerted by the shoe soles. This is because the shoe heels have a smaller area of contact with the floor compared to the soles. The smaller contact area leads to a higher pressure, causing the heel to sink into the wooden floor and leaving marks.
On the other hand, the shoe soles have a larger contact area with the floor, which distributes the pressure over a wider surface area. This reduces the pressure exerted by each sole, preventing it from sinking into the floor and leaving visible marks.
Therefore, the difference in pressure distribution between the shoe heels and soles is why marks are left by the woman's shoe heels but not her shoe soles on the wooden floor.