Question

he pressure inside a bottle of Champagne is 4.5 atm higher than the air pressure outside. The neck of the bottle has an inner radius of 1.0 cm. What is the frictional force on the cork due to the neck of the bottle?

Answer 1

F = 141.3 N

Step-by-step explanation:

Pressure inside the Champagne bottle = 4.5 atm

1 atm = 10⁵ Pa

4.5 atm = 4.5 x 10⁵ Pa

inner radius of the bottle = 1 cm = 0.01 m

Area of the bottle = π r²

= π x 0.01²

= 3.14 x 10⁻⁴ m²

Force acting on the cork due to excess pressure

F = P A

F = 4.5 x 10⁵ x 3.14 x 10⁻⁴

F = 141.3 N

The frictional force on the cork due to the neck bottle will also be equal to F = 141.3 N