the neck and bottomof a bottle are 2cm and 10cm in a diameter respectively if the cork is pressed with a force of 1.2kgf in the neck of the bottle.calculate the force exerted on the bottom of the bottle.
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Explanation:
Radius of the cork at the neck is 1cm.
Area of the cork, Ac=π×12cm2
So, pressure applied through the cork, Pc=π×121.2kgf.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, Ab=π×52cm2
So, force applied at the bottom = Pc×Ab=π×121.2×π×52=1.2×25=30kgf
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