A Planet Is Made of Two Distinct Materials in Two $\times$

question 67

Multiple Choice

A planet is made of two distinct materials in two layers.From the core to R/2,the density of the material is 4000 kg/m³,and from R/2 to R the density is 3000 kg/m³.What is the mass of the planet if R = 5000 km?

• A)2.62 \(\times\) 10²³ kg
• B)1.37 \(\times\) 10²⁴ kg
• C)1.64 \(\times\) 10²⁴ kg
• D)1.57 \(\times\) 10²⁴ kg
• E)1.87 \(\times\) 10²⁴ kg

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Definitions:

Carrying Value

The net amount at which an asset or liability is recognized in the balance sheet, taking into account factors like amortization, impairment, and depreciation.

Premium

An amount paid in addition to the standard or nominal rate, applicable in contexts such as insurance, bonds, or issues related to stock.

Annual Amortization

The portion of the total amortization expense allocated within a single fiscal year.

Interest Expense

The cost incurred by an entity for borrowed funds, typically reported on the income statement within the period the interest is incurred.