Question

are
(a) The diameter of neck and bottom of a bottle
2 cm and 10 cm respectively. The bottle
completely filled with oil. If the cork in the neck
is pressed in with a force of 1.2 kgf, what force is
exerted on the bottom of the bottle ?
(b) Name the law/principle you have used to find the
force in part (a)​

Answer 1

Answer:

Diameter of the neck is = 2 cm = 0.02 m

So, area of cross-section of the neck is, a = πd 2 /4 = 0.000314 m 2

Diameter of the bottom is = 10 cm = 0.1 m

So, area of cross-section of the bottom is, A = πd 2 /4 = 0.00785 m 2

Force applied to the cork, f = 1.2 kgf

Let F be the force at the bottom, so,

F/A = f/a

=> F = (f/a)A = (1.2/0.000314)(0.00785) = 30 kgf

principle used - Psacal's Law