Estimate the pressure exerted on the floor by a 75 kg store clerk standing momentarily on a single heel of their shoe, where the heel area = 6 cm square?

What is 75*9.8/6 Newtons/cm^2

To estimate the pressure exerted on the floor by the store clerk, we need to perform a simple calculation using the given information. The pressure exerted on the floor can be calculated by dividing the force applied (weight of the clerk) by the area over which the force is distributed (heel area).

Here's how we can calculate it step by step:

1. Calculate the force applied (weight of the clerk):
The weight (force) of the clerk can be calculated using the formula: Weight = mass × gravity.
Given that the store clerk's mass is 75 kg, and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force by multiplying the mass by the acceleration due to gravity:
Weight = 75 kg × 9.8 m/s^2 = 735 N (Newtons).

2. Calculate the pressure exerted on the floor:
To find the pressure exerted on the floor, we divide the force by the area.
Given that the heel area is 6 cm^2, we need to convert it to square meters by dividing by 10000 (since 1 m^2 = 10000 cm^2):
Heel area = 6 cm^2 ÷ 10000 = 0.0006 m^2.

Now, we can calculate the pressure exerted on the floor by dividing the force by the area:
Pressure = Force ÷ Area = 735 N ÷ 0.0006 m^2.

Calculating this:
Pressure ≈ 1,225,000 Pa (Pascals).

Therefore, the pressure exerted on the floor by the store clerk standing momentarily on a single heel of their shoe is approximately 1,225,000 Pascals.