(a) If a 22 pound baby sits atop a 1 ft^2 piston that is connected to a 10 ft^2 platform via sealed, water filled pipes, how heavy and massive of a car can the baby's weight lift (answer in pounds, Newtons, and Kilograms)?(adsbygoogle = window.adsbygoogle || []).push({});

(b) If the baby's initial height on the piston is 10 ft, how high will the car be raised after the baby's piston is completely compressed?

3. a)

F1/A1=F2/A2 or

P1 = P2

Let baby sitting on 1ft^2 platform be P1 --> 22lbs/144in^2 = .153 lbs/in^2

Let car on platform be P2 -->

weight of car/14400in^2 =P2

--> weight of car = 14400in^2 X .153 lbs/in^2 = 2,203.2 lbs.

Powerful baby.

I assumed pounds in this problem meant pounds force rather than pounds mass. 1 pound force = 4.45 N so 22 lb = 97.9 N, and the mass that would give 97.9 N is 97.9N/9.8m/s^2 = 9.99 kg

(b)

If the baby\'s piston is completely compressed, the volume of water the baby\'s piston held will now be in the other piston - the one holding the car on a platform. First you figure out what volume of water would be in the baby's piston before it was compressed. So you had a cylinder with a cross sectional area of 1 ft^2 and a height of 10 ft, so that is a volume of 1ft^2X10ft = 10ft^3.

That\'s the volume that will be transferred to the other cylinder, but since that cylinder has a larger cross sectional area, the height the water will rise will be less than 10 ft.

Volume = Area of base times height

10ft^3 = 10ft^2 X H -->

H = 1 ft. The car will be raised 1 ft.

Are my answers/solutions correct?? Or did I make a mistake? Please help me...thanks in advance!

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# Homework Help: Pascal's Principle? Are my solutions correct?

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