how do i do this
A force of 230 N applied on a hydraulic lift raises an automobile weighing 6500 N. If the applied force is exerted on a 7.0 m^2 piston, what is the area of the piston beneath the automobile?
a. 2.0 * 10^2 m^2
b. 4.0 m^2
c. 0.25 m^2
d. 0.0050 m^2
A water bed that is 1.5 m wide and 2.5 m long weighs 1055 N. Assuming the entire lower surface of the bed is in contact with the floor, what is the pressure the bed exerts on the floor?
a. 250 Pa
b. 260 Pa
c. 270 Pa
d. 280 Pa
thanks for any help!
Use the principal that the pressure throughout the fluid is equal. The force that is applied by (or to) a piston is therefore proportional to its area. The automobile piston area must be larger by a factor 6500/230
The answer to the secoind proboem is water weight/water bed area. Round off to two significant figures and you will agree with one of those answers
c.270
124
To solve the first problem, you need to use Pascal's Law, which states that the pressure applied to a fluid in a confined space is transmitted equally in all directions.
Step 1: Find the pressure exerted on the lift.
To find the pressure exerted on the lift, divide the force applied by the area of the piston.
Pressure = Force / Area
Given:
Force = 230 N
Area = 7.0 m^2
Substitute the values into the formula:
Pressure = 230 N / 7.0 m^2
Step 2: Find the area of the piston beneath the automobile.
Since the pressure is transmitted equally in all directions, the pressure exerted on the lift is also exerted on the piston beneath the automobile. To find the area of this piston, divide the weight of the automobile by the pressure.
Given:
Weight of automobile = 6500 N
Pressure = Calculated in step 1
Substitute the values into the formula:
Area = Weight / Pressure
Finally, substitute the calculated pressure into the formula:
Area = 6500 N / (230 N / 7.0 m^2)
Perform the calculation to find the area.
For the second problem, you need to calculate the pressure using the formula:
Pressure = Force / Area
Given:
Width = 1.5 m
Length = 2.5 m
Weight = 1055 N (the weight of the water bed)
To find the area, multiply the width by the length:
Area = Width * Length
Substitute the values into the formula:
Pressure = 1055 N / (Width * Length)
Finally, perform the calculation to find the pressure exerted by the water bed on the floor.
Now that I've explained the steps, please try solving the problems and let me know if you need any further assistance or if you'd like the final answers.