Question

A doctor has a patient blow on one side of a U-shaped tube that is partially

filled with water and has a ball floating on the other side, as shown in the
image below. If the ball rises with a force of 150 N, what pressure did the
patient apply to his side of the tube?
Direction of
blowing air
Area = 0.001 m2
A. 150 Pa
B. 100,000 Pa
C. 150,000 Pa
D. 0.15 Pa

Answer 1

The pressure applied by the patient on the U-shaped tube that results in a ball rising with a force of 150 N is calculated as 150,000 Pa by dividing force by the area on which the force is applied.

Step-by-step explanation:

The patient's blowing causes a rise in the ball on the U-shaped tube, indicating an increase in pressure. Since the ball rises with a force of 150 N and the area of the tube on the patient's side is specified as 0.001 m², we can use the pressure formula (Pressure = Force/Area) to calculate the pressure applied by the patient. The pressure (P) is therefore:

P = Force / Area

P = 150 N / 0.001 m²

P = 150,000 Pa

Therefore, the pressure applied by the patient is 150,000 pascals, which corresponds to option C. This is an example of fluid dynamics and the relationship between force, pressure, and area.