Density and Pressure

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17 Terms

1

How is density defined?

Density is defined as mass per unit volume.

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2

What is the mathematical formula for density?

ρ=m/V.

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3

What is the unit of density?

The unit of density is kg/m3kg/m^3kg/m3 (kilograms per cubic meter)

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4

How is pressure defined?

Pressure is defined as force per unit area.

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5

What is the mathematical formula for pressure?

.P=F/A, where P is pressure, F is force, and A is area.

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6

What is the unit of pressure?

The unit of pressure is the Pascal (Pa), which is equivalent to N/m2N/m^2N/m2 (Newton per square meter).

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7

What is the equation for weight in terms of mass and gravity?

W=mg, where W is weight, mmm is mass, and g is acceleration due to gravity.

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8

How does pressure in a fluid change with depth?

Pressure in a fluid increases with depth

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9

Why does water from the bottom hole of a container travel the farthest

It is under the greatest pressure due to the increased depth.

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10

What are two applications of pressure in fluids?

  • Hydrometers: Used to measure the density of liquids.

  • The Bends: A condition caused by nitrogen forming gas bubbles in the blood due to rapid pressure drops.

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11

What factors determine the difference in pressure (ΔP\Delta PΔP) between two points in a liquid?

  • Density of the liquid (ρ\rhoρ)

  • Acceleration due to gravity (ggg)

  • Difference in height between the points (Δh\Delta hΔh)

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12

What is the formula for the change in pressure in a liquid?

ΔP=ρgΔh

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13

A can of height 10 cm is submerged in water. What is the pressure difference between its top and bottom?

A: ΔP=(1000)(9.8)(0.1)=980\Delta P = (1000)(9.8)(0.1) = 980ΔP=(1000)(9.8)(0.1)=980 Pa

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14

What is Archimedes’ Principle?

When an object is immersed in a fluid, the upthrust it experiences is equal to the weight of the displaced fluid.

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15

Describe the demonstration of Archimedes’ Principle.

  • A 10 N stone is immersed in water using a Newton-meter.

  • The stone's weight reduces to 7 N, indicating an upthrust of 3 N.

  • The displaced water also weighs 3 N, confirming that upthrust equals displaced fluid weight.

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16

What is The Law of Flotation?

The weight of a floating object is equal to the weight of the fluid it displaces.

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17

what is boyles law?

boyles law states that at a constant temperature of the fixed volume of gas is inversely proportional to its pressure

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