Final answer:
The force required to create a gauge pressure of 4.00 cm water in a balloon with an effective area of 50.0 cm² is 200 cm².
Step-by-step explanation:
To calculate the force required to create a gauge pressure of 4.00 cm water in a balloon with an effective area of 50.0 cm², we can use the formula:
Pressure = Force / Area
Rearranging the formula, we get:
Force = Pressure x Area
Substituting the given values:
Force = 4.00 cm x 50.0 cm² = 200 cm²
Therefore, you would need to exert a force of 200 cm² on the balloon to create a gauge pressure of 4.00 cm water.