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?

Δ 𝑃 3 \frac{Δ𝑃}{3} 3 Δ P

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?

The pressure exerted on the base of the cube, its vertical sides, and its lid is increased.

The pressure exerted on the cube’s vertical sides is increased.

The pressure exerted on the base of the cube and its lid is increased.

The pressure exerted on the base of the cube is increased.

The pressure exerted on the base of the cube and its vertical sides is increased.

What does Pascal's principle state?

The pressure at two pistons within an enclosed fluid system is always the same.

The pressure exerted by a fluid decreases as depth increases.

The pressure of a fluid decreases as the speed of the fluid increases.

The buoyant force on an object is equal to the weight of the fluid displaced by the object.

What does Archimedes' principle state?

The buoyant force on an object is equal to the weight of the fluid displaced by the object.

The pressure exerted by a fluid decreases as depth increases.

The pressure of a fluid decreases as the speed of the fluid increases.

The pressure at two pistons within an enclosed fluid system is always the same.

Pascal's Principle Quiz

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the pressure in the hydraulic fluid?

1210 N

484 N/m²

8000 N

3025 N/m²

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the force up on the mailbox?

1210 N

8000 N

7744 N

5655 N

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How much was the original force multiplied?

6.4 x

8.3 x

5 x

7 x

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

100kPa

130kPa

99.47kPa

151.2kPa

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

1.3 x 10⁶N

1.3 x 10⁷N

3.0 x 10⁶N

3.0 x 10⁷N

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

4.0 x 10² Pa

4.0 x 10⁴ Pa

2.0 x 10² Pa

2.0 x 10⁴ Pa

Which statement is correct

P _{a =}P _{b =}P _c

A _{a =}A _{b =}A _c

F _{a =}F _{b =}F _c

8.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What will be the output force?

20 N

2 N

50 N

500 N

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?

1 cm

2 cm

0.01 cm

0.02 cm

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

500 N

333 N

100 N

20 N

Pascal's Principle

30 questions