what is the downward force of the atmosphere on the top of your head right now. Assume your head has an area of .025 m^2

Atmospheric pressure is about 1.02*10^5 Newtons/m^2 at sea level. Multiply that by the area of your head (0.025 m^2, seen from above).

To calculate the downward force of the atmosphere on the top of your head, we can use the formula:

Force = Pressure × Area

First, we need to find the pressure exerted by the atmosphere. The pressure exerted by a fluid (in this case, the atmosphere) can be calculated using the formula:

Pressure = Density × Gravity × Height

The density of air at sea level is approximately 1.225 kg/m^3, and the acceleration due to gravity is approximately 9.8 m/s^2. The height (or depth) at which we are measuring this pressure is negligible compared to the height of the atmosphere, so we can assume it to be zero for simplicity.

So, the pressure exerted by the atmosphere is:

Pressure = 1.225 kg/m^3 × 9.8 m/s^2 × 0m = 0 Pascal

Since the pressure is negligible, we can conclude that the downward force of the atmosphere on the top of your head is also negligible.