A living room has floor dimensions of 3.5 m and 4.2 m and a height of 2.4 m .
(a) What does the air in the room weigh when the air pressure is 1.0 atm ?
What is the magnitude of the atmosphere's downward force on the top of the your head .which we take to have an area of `0.040 m^(2)` ?

Explanation

To solve the problem step by step, we will break it down into two parts as per the question.

### Part (a): Weight of the Air in the Room

1. **Calculate the Volume of the Room:**
The volume \( V \) of the room can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
...