contestada

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?

Respuesta :

cerverusdante
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.

Answer:

Ceres is [tex]4.15\times10^{8}[/tex] km away from sun.

Step-by-step explanation:

We know that,

1 AU =[tex]1.50\times10^{8}[/tex] Km

So, 2.767 AU in kilometers will be :

Applying the conversion of units:

[tex]2767\times(1.50\times10^{8})[/tex]

= 415050000 km.

In exponential form we can re write this as :

[tex]4.15\times10^{8}[/tex] kilometer.

Thus, Ceres is [tex]4.15\times10^{8}[/tex] kilometers away from the sun.

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