Question

The Earth is 1.49 x 1011 m from the Sun. If the Earth requires 365.25 days to go once around
the Sun, what is the centripetal force on the Earth?

Answer 1

This one is rather similar to the other question about centripetal force, but with much larger numbers of course.
Just like before, the equation we'd want to use is:
\[Centripetal Force = \frac{ Mass * Velocity ^{2} }{ Radius }\]
The mass of the Earth is something we can look up as 5.9722×10²⁴ kg. The radius is given as 1.49 * 10^11 m. Using the radius and the time of 365.25, can you try to calculate the velocity of the Earth in meters per second?
Once you have that, you should be able to use the equation to calculate centripetal force