Question

A funnel has a cork blocking its drain tube. The cork has a diameter of 1.50 cm and is held in place by static friction with the sides of the drain tube. When water is added to a height of 15.0 cm above the cork, it comes flying out of the tube. Determine the maximum force of static friction between the cork and drain tube. Neglect the weight of the cork.

Answer 1

To determine the maximum force of static friction between the cork and drain tube, we can use the formula for pressure and the formula for the force of static friction. The pressure exerted by the water column is equal to the maximum static friction force.

Step-by-step explanation:

To determine the maximum force of static friction between the cork and drain tube, we need to consider the conditions at which the water comes flying out of the tube. When water is added to a height of 15.0 cm above the cork, the pressure exerted by the water column is equal to the maximum static friction force between the cork and drain tube.

We can calculate the pressure exerted by the water column using the formula:

Pressure = Density x Gravitational Acceleration x Height

Since the water is at rest, the pressure exerted by the water column is also equal to the force of static friction between the cork and drain tube. Therefore, we can calculate the force of static friction:

Force of Static Friction = Pressure x Area

The area can be calculated using the formula for the area of a circle:

Area = π x (radius)^2