Question

The neck and bottom of a bottle have diameters 2cm and 8cm respectively. The bottle is completely filled with kerosine. If the cork in the neck is preseed with a force of 10N , what force is exerted on the bottom of the bottle
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Answer 1

Answer:

Radius of the cork at the neck is 1cm.

Area of the cork,

A

c

=

π×

2

1 2

So, pressure applied through the cork,

P

c

=

π×1

2

1.2

kgf.

cm

−2

Same pressure is applied on the bottom of the bottle as per Pascal's law.

Radius of the bottom of bottle is 5cm.

Area of the bottom,

A

b

=

π×

2

5 2

So, force applied at the bottom =

P

c

×

A

b

=

π×1

2

1.2

×

π×

5 2

1.2×

25=

30kgf