Answer
The frictional force exerted on the cork by the neck of the bottle is $143~N$
Work Step by Step
We can convert $4.5~atm$ to units of Pascals:
$4.5~atm \times \frac{1.013\times 10^5~Pa}{1~atm} = 4.56\times 10^5~Pa$
We can find the force exerted on the cork by the pressure difference:
$F = P~A$
$F = P~\pi~r^2$
$F = (4.56\times 10^5~N/m^2)(\pi)(0.010~m)^2$
$F = 143~N$
The frictional force exerted on the cork by the neck of the bottle must be equal in magnitude to this force. The frictional force exerted on the cork by the neck of the bottle is $143~N$
