Question

When squeezing a balloon to force air into an unconscious person's lungs, the force required to create a gauge pressure of 4.00 cm water on an effective area of 50.0 cm² is:

a. 0.20 N
b. 2.00 N
c. 4.00 N
d. 8.00 N

Answer 1

The force required to create a gauge pressure of 4.00 cm water on an effective area of 50.0 cm² is 19620 N. The correct option is d. 8.00 N.

Step-by-step explanation:

To calculate the force required to create a gauge pressure, we can use the formula: Force = Pressure x Area. Given that the gauge pressure is 4.00 cm water and the effective area is 50.0 cm², we can convert the pressure to pascals to match the unit of the area. 1 cm water is approximately equal to 98.1 pascals. So, the gauge pressure is 4.00 cm water x 98.1 pascals/cm water = 392.4 pascals.

Now, we can substitute the values into the formula: Force = 392.4 pascals x 50.0 cm² = 19620 N. Therefore, the force required to create a gauge pressure of 4.00 cm water on an effective area of 50.0 cm² is 19620 N. The correct option is d. 8.00 N.