Is this the answer to this question?

[predentalgirl1]

1. (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)?

(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?




2. F=P/A



3. 1 foot = 0.3048 meters
1 ft² = 0.09290304 m²
10ft² = 0.9290304 m²

1 pound = 0.45359237 kilograms
22 pounds = 9.97903214 Kg

a) Pressure = Force / area
Force = Weight of baby = 9.97903214 x 9.8 = 97.79451497 N
Area = 0.09290304
Pressure = 97.79451497 / 0.09290304 = 1052.651398 Pa
Pressure in both piston the same .
1052.651398 = Force / Area
1052.651398 = Weigh of car / 0.9290304
Weight of car = 977.9451497 N
mass = 99.7903214 Kg .

b)
Volume of Liquid is same in both Pistons
V = A x Height
1ft²x10ft = X x 10ft²
X=1 ft .

 

[Shooting Star]

Your concept is abslolutely correct.

 

[ogb p]

The car will be raised by 1 ft after the baby's piston is completely compressed.

I would like to clarify that the answer provided is only a theoretical calculation and may not be accurate in practical situations. The weight and mass of the car may vary depending on various factors such as the type of car, distribution of weight, and the strength of the materials used. It is important to conduct experiments and tests to determine the exact weight and mass that the baby can lift and the height the car will be raised to. Additionally, it is also important to consider the safety and well-being of the baby in such a scenario.