In a hydraulic system a 20.0-N force is applied to the small piston with cross sectional

area 25.0 cm2. What weight can be lifted by the large piston with cross sectional
area 50.0 cm2?

Would I need to divide both pistons areas then mutiply the force? and or have gravity in there somewhere since its weight?

No need for gravity.

F1/Area1 = F2/AREA2

Solver for F1

So it would be 50.0/25.0*20.0=40

20/25 = F/50

F = (20/25)*50

F= 40 N

thank you

To find the weight that can be lifted by the large piston, we need to understand the principles of Pascal's law in a hydraulic system.

According to Pascal's law, the pressure exerted by a fluid is transmitted equally in all directions. In a hydraulic system, the ratio of the force applied to the area of the piston is constant.

So, in this case, we have the force applied to the small piston and we need to determine the weight that can be lifted by the large piston. Here's how you can calculate it step by step:

1. Calculate the pressure exerted on the small piston:
Pressure = Force / Area
Area of the small piston = 25.0 cm^2
Convert area to square meters: 25.0 cm^2 * (1 m/100 cm)^2 = 0.0025 m^2
Force = 20.0 N
Pressure = 20.0 N / 0.0025 m^2

2. Use Pascal's law to find the pressure on the large piston:
Since the pressure is transmitted equally in a hydraulic system, the pressure on the large piston will be the same as the pressure exerted on the small piston.

3. Calculate the weight that can be lifted by the large piston:
Pressure on the large piston = Pressure on the small piston
Pressure on the large piston = Force on the large piston / Area of the large piston
Area of the large piston = 50.0 cm^2
Convert area to square meters: 50.0 cm^2 * (1 m/100 cm)^2 = 0.005 m^2
Force on the large piston = Pressure on the large piston * Area of the large piston

Now, substitute the value of pressure on the large piston from step 2 and area of the large piston from step 3 into the equation above to find the force or weight that can be lifted by the large piston.

4. Calculate the weight:
Weight on the large piston = Force on the large piston

So, you don't need to divide the piston areas and multiply the force. You need to calculate the pressure exerted on the small piston, then use Pascal's law to find the pressure on the large piston, and finally calculate the weight that can be lifted by the large piston.