MATH SOLVE

3 months ago

Q:
# Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the Sun. How many kilometers away is it from the Sun?

Accepted Solution

A:

In this problem the mass of the asteroid is completely irrelevant. To solve this we are going to take advantage of the fact the 1AU=149,598,000 kilometers, so we can establish a conversion factor as follows:

[tex]2.767AU* \frac{149598000km}{AU} =413937666[/tex]

We can conclude that the asteroid is 413,937,666 kilometers away from the sun, or in scientific notation 4.139376660·[tex]10^8[/tex] kilometers away form the sun.

[tex]2.767AU* \frac{149598000km}{AU} =413937666[/tex]

We can conclude that the asteroid is 413,937,666 kilometers away from the sun, or in scientific notation 4.139376660·[tex]10^8[/tex] kilometers away form the sun.