What is the acceleration  of  the Earth to stay in its nearly circular orbit around the Sun?  Assume the radius of the orbit is 150,000,000 km, and the time to complete an orbit is 365 days.   Pick those answers that apply.     About 6 m/s2 away from the Sun (compare to "g" near Earth which is 9.8 m/s2)     The Earth is not accelerating, it is moving at a constant velocity.     About 6 m/s2 toward the Sun (compare to "g" which is 9.8 m/s2)     Much smaller than "g" and away from the Sun.     Exactly the acceleration needed to maintain a closed curved and elliptical orbit year after yea

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What is the acceleration  of  the Earth to stay in its nearly circular orbit around the Sun?  Assume the radius of the orbit is 150,000,000 km, and the time to complete an orbit is 365 days.

 

Pick those answers that apply.

   

About 6 m/s2 away from the Sun (compare to "g" near Earth which is 9.8 m/s2)

   

The Earth is not accelerating, it is moving at a constant velocity.

   

About 6 m/s2 toward the Sun (compare to "g" which is 9.8 m/s2)

   

Much smaller than "g" and away from the Sun.

   

Exactly the acceleration needed to maintain a closed curved and elliptical orbit year after year.

Expert Solution
Step 1

We know that moving in a circular path with constant speed requires acceleration.

its known that : Fq = q mmr2

                              = mv2r

Now we know that the centripetal acceleration 'a' = v2r

So,   a = (2 πr / T) 2 1/r

       a = 4 π2r / T2

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