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Textbook Expert
Textbook ExpertVerified Tutor
9 Nov 2021

Given information

To Determine: Whether the Earth moves when object free falls on it. 

 

Step-by-step explanation

Step 1.

Lets find the acceleration of the Earth and the object assuming the mass of the freely falling object to be m = 1 kg.

If the mass of the Earth is M, then the acceleration of the Earth would be found using Newton's laws of motion.

Acceleration of free falling object will be mg= 9.8m/s2

From Newton’s third law of motion: Every action has an equal and opposite reaction.  Force on the Earth is:

 

 

   

Since the Earth has a mass that is on the order of  , then the acceleration of the Earth is on the order of  

 

  

This value is very very small and this tiny acceleration is undetectable. So Earth doesn’t move.

 

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