En 1986, un enorme iceberg se desprendió de la plataforma de...

En 1986, un enorme iceberg se desprendió de la plataforma de hielo de Ross, en la Antártida. Era un prisma rectangular de $160 \mathrm{~km}$ de largo, 40,0 $\mathrm{km}$ de ancho y $250 \mathrm{~m}$ de espesor aproximadamente. (a) ¿Cuál es la masa de este iceberg, dado que la densidad del hielo es $917 \mathrm{~kg} / \mathrm{m}^3$ ? (b) ¿Cuánta transferencia de calor (en julios) se necesita para derretirlo? (c) ¿Cuántos años de luz solar solamente se necesitarían para fundir hielo de este grosor, si el hielo absorbe un promedio de $100 \mathrm{~W} / \mathrm{m}^2$, $12,00 \mathrm{~h}$ al día?

Key Concepts

Volume Calculation

This concept involves determining the volume of a three?dimensional geometric shape. In contexts like this, where the object is a rectangular prism, the volume is calculated by multiplying its length, width, and height. This is fundamental in many physical problems where mass or other properties are derived from the object’s volume.

Density and Mass Relationship

Density is defined as mass per unit volume. By knowing the density of a substance and calculating the volume of an object made from that substance, one can determine the mass by multiplying these two quantities. This relationship is crucial for converting geometric measurements into physical mass attributes.

Unit Conversion and Dimensional Analysis

Problems involving large-scale measurements often require converting units to maintain consistency, such as converting kilometers to meters before calculating volume. Dimensional analysis ensures that calculations are performed with compatible units, allowing results to be correctly interpreted in terms of mass, energy, or other physical quantities.

Latent Heat of Fusion

Latent heat of fusion is the amount of energy per unit mass required to change a substance from the solid phase to the liquid phase, without changing its temperature. It is essential for calculating the total energy needed to melt a given mass of a material, making it a key concept in thermodynamics and phase change studies.

Heat Transfer and Energy Calculations

Heat transfer calculations involve determining the amount of energy transferred over time, often by using power measurements such as watts (joules per second). In contexts like this, understanding how energy input (for instance, from solar irradiance) translates to heat energy over a period is essential to calculate how long it would take to achieve a specific thermal effect, such as melting an iceberg.

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