Question

1. the sun has a mass of 1,991,000.0 x 10^{24} kg and a radius of 700.0 x 10^{6}m. based on the information provided, the escape velocity from the sun would be:

a. slower than the escape velocity from all of the planets in table 1 because both its radius and mass are larger than the radius and mass of all of the planets in table 1.
b. slower than the escape velocity from all of the planets in table 1 because both its radius and mass are smaller than the radius and mass of all of the planets in table 1.
c. faster than the escape velocity from all of the planets in table 1 because both its radius and mass are larger than the radius and mass of all of the planets in table 1.
d. faster than the escape velocity from all of the planets in table 1 because both its radius and mass are smaller than the radius and mass of all of the planets in table 1.

Explanation:

Looking at the table, we can see that as the mass and radius of celestial bodies change, the escape velocity changes. Jupiter has a large mass (\(1900.0\times10^{24}\text{ kg}\)) and a large radius (\(70.0\times 10^{6}\text{ m}\)) among the planets in the table, and it has a high escape velocity (\(60.0\text{ km/s}\)). The sun has a much larger mass (\(1991000.0\times10^{24}\text{ kg}\)) and a larger radius (\(700.0\times 10^{6}\text{ m}\)) compared to all the planets in the table. According to the trend in the table (larger mass and radius lead to higher escape velocity), the sun's escape velocity should be faster than that of all the planets in the table.

Answer:

C. faster than the escape velocity from all of the planets in Table 1 because both its radius and mass are larger than the radius and mass of all of the planets in Table 1.