Quiz based on Numerical Problems: Pressure in Fluids

A force of 50 N is applied to an area of 0.1 m². What is the pressure exerted on the surface?

• 5 Pa
• 50 Pa
• 500 Pa
• 5,000 Pa

A hydraulic press has a small piston with a cross-sectional area of 0.02 m² and a larger piston with an area of 0.5 m². If a force of 40 N is applied to the smaller piston, what is the force exerted by the larger piston?

• 1,000 N
• 500 N
• 40 N
• 100 N

What is the pressure at a depth of 10 meters underwater, if the density of water is 1,000 kg/m³ and acceleration due to gravity is 9.8 m/s²?

• 9,800 Pa
• 98,000 Pa
• 10,000 Pa
• 100,000 Pa

A hydraulic machine has a small piston with an area of 0.05 m² and a large piston with an area of 1 m². If a force of 20 N is applied to the small piston, what is the pressure applied to the fluid?

• 400 Pa
• 100 Pa
• 50 Pa
• 20 Pa

A force of 150 N is applied to a surface with an area of 0.5 m². What is the resulting pressure?

• 300 Pa
• 75 Pa
• 150 Pa
• 50 Pa

The pressure at the bottom of a tank filled with water is 20,000 Pa. What is the height of the water column if the density of water is 1,000 kg/m³ and gravity is 10 m/s²?

• 2 m
• 3 m
• 4 m
• 5 m

What is the pressure exerted by a 500 N force on an area of 2 m²?

• 100 Pa
• 250 Pa
• 500 Pa
• 1,000 Pa

A liquid exerts a pressure of 12,000 Pa at the bottom of a tank. If the density of the liquid is 1,200 kg/m³ and gravity is 9.8 m/s², what is the height of the liquid column?

• 1.02 m
• 1.22 m
• 1.36 m
• 1.53 m

A force of 500 N is applied to a hydraulic lift with a small piston area of 0.05 m². If the larger piston has an area of 1.5 m², what is the output force?

• 10,000 N
• 15,000 N
• 20,000 N
• 25,000 N

A diver is 30 meters deep in seawater. If the density of seawater is 1,025 kg/m³ and gravity is 9.8 m/s², what is the pressure exerted by the water at that depth?

• 294,000 Pa
• 301,000 Pa
• 310,000 Pa
• 320,000 Pa