In a car lift, compressed air exerts a force, F₁ on a small piston having a radius of 5.5cm. This pressure is transmitted to a second piston of radius 20cm as shown in figure above. The mass of the car is 1250kg. Acceleration due to gravity g=10ms^-2.

Calculate the pressure on the smaller piston F_1.

Weight of the car is 2.6 x 10⁶ kg. Ratio between master piston to slave piston is 1 : 15. What if force exerted to the master piston.

If a force 20N is applied to piston C. What is the pressure exerted to piston A

Which statement is correct

What will be the output force?

A thin, rectangular-prism-shaped piston has sides 0.01 m and 0.015 m in length. The piston is pushed a horizontal distance of 0.25 m along a tube attached to a larger water tank, as shown in the diagram. The tube has the same cross section as the piston. The water tank is a rectangular prism with a cross section that has sides of lengths 0.05 m and 0.075 m. Floating on top of the water in the tank is a thin, wooden, rectangular-prism-shaped plank that has the same cross section as the water tank. Assume that the friction between the piston and the tube and that between the plank and the tank is negligible. What is the distance 𝑑 that the plank rises?

A thin, rectangular-prism-shaped piston has sides 0.01 m and 0.015 m in length. The piston is pushed a horizontal distance of 0.25 m along a tube attached to a larger water tank, as shown in the diagram. The tube has the same cross section as the piston. The water tank is a rectangular prism with a cross section that has sides of lengths 0.05 m and 0.075 m. Floating on top of the water in the tank is a thin, wooden, rectangular-prism-shaped plank that has the same cross section as the water tank. Assume that the friction between the piston and the tube and that between the plank and the tank is negligible. The work done on the piston to move it is 5 J. What is the average force applied to the plank?

Water in a container is pushed horizontally by a movable wall of the container, as shown in the diagram. Inside the water-filled part of the container is a square metal sheet with sides of length 0.25 m. The base of the sheet is attached to the floor of the container, keeping the sheet vertically oriented. The water pushes the sheet when the container’s movable wall is moved. The movable wall has sides of lengths $L_2=0.25m$ and $L_3=0.75m$ .The force applied to the movable wall is equal to the force applied to the water by the wall. What is the magnitude of the force that pushes the surface of the metal sheet that faces away from the movable wall?

In an ideal hydraulic press, what is the ratio of the work done by the big piston to that done by the small piston?

In a hydraulic press, the ratio between the radii of the two pistons is $\frac{5}{3}$  .What is the mechanical advantage of the hydraulic press?

A U-shaped tube has two circular branches of different radii; the ratio between them is 3. The tube is filled with an incompressible liquid and each branch has a movable frictionless piston.

A force, 𝑓,acted downwards on the piston of the smaller radius and exerted a work, 𝑊.What is the work done by the piston with the larger radius?

The ratio between the cross section of the large piston to that of the small piston of a hydraulic lift is 3. By how much should the pressure acting on the large piston increase to maintain the two pistons at the same horizontal level if the pressure acting on the small piston increased by Δ𝑃?

A solid object falls through water of density $1‎‎000\ kg/m^3$ . At the instant that the top of the object is 25 cm below the water’s surface, the water exerts a pressure on the top, bottom, and side of the object, as shown in the diagram. Find $P_1$ ,  $P_2$ and $P_3$ respectively. {Take: $g=9.8\ m.s^{-2}$ }

In a hydraulic press, the force applied on the smaller piston is shown on the 𝑥-axis and the force produced on the larger piston is shown on the 𝑦-axis. Calculate the mechanical advantage of the hydraulic press.

In a factory, a hydraulic press used for lifting cars is at equilibrium, as shown in the figure. The car on the bigger piston has a mass of 1.2 metric tons and the weight on the smaller piston has a mass of 70 kg. What is the diameter of the smaller cylinder?

Two cars, A and B, are held by the two pistons of a hydraulic press at the same horizontal level. Car A weighs 3‎ ‎400 N, and car B weighs 2‎ ‎850 N. Calculate the ratio between the area of the piston car A is sitting on and the area of the piston car B is sitting on.

In the figure, a force F is applied on the smaller piston of a hydraulic lift which has an area of $15\ cm^2$ to lift up a car of mass 2‎ ‎300 kg a distance of 2.5 m. The car is held by the other piston which has an area of $2.5\ m^2$ .Calculate the force F ,given that the density of the oil is $870\ kg/m^3$  and the acceleration due to gravity is $10\ m/s^2$ .

The figure shows a hydraulic press system which is made of one small piston and 3 large pistons. If the cross-sectional area of the small piston is $12.5\ cm^2$  and the cross-sectional area of each of the large pistons is $130\ cm^2$ ,calculate the resultant force on each of the large pistons if a force of 220 N acts on the small piston.

In the figure below, a hydraulic press is used to lift up a mass 𝑀 a distance of 1 cm. If the efficiency of the press is 90% and the work exerted on the smaller piston is 800 J. Calculate the maximum mass which can be lifted by the press, given that the acceleration due to gravity is $10\ m/s^2$ .

A force 𝐹 acts on the small piston of a hydraulic press so it moves downwards a distance of 300 cm. The ratio between the areas of the pistons of a hydraulic press is 1/50. Calculate the upward distance moved by the large piston.

The areas of the pistons of a hydraulic press are $15\ cm^2$  and $50\ cm^2$ .When a weight is placed on the small piston, the big piston moves 3 cm upwards, so the small piston moves a distance of ______ cm downwards.

A cubic container holds water. The lid of the container can be pushed downward, exerting pressure on the water in the container. Which of the following statements most correctly describes how the pressure exerted by the water is changed when the lid is pushed downward?