According to the third law of motion every body exerts action and the other shows the reaction.But the action and the reaction force and reaction force exerted on both the object is same then why the object changes it's position when it is also exerting the same force on that object?

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Solution

Yes, this can happen...
The magnitude of the force exerted by one body on another could change in some situations, like when one is moving with respect to another or its position changes. So, in this case as the action force varies the reaction force will vary with it as the two occur in pairs.

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Newton’s third law of motion states that for every action, there is an equal and opposite reaction. Which of the following statement can be inferred:

Statement 1 $:$ every interaction, there is a pair of forces acting on the two interacting objects

Statement 2 $:$ The size of the forces on the first object equals the size of the force on the second object

Statement 3 $:$ Forces always come in pairs - equal and opposite action - reaction force pairs

Statement 4 $:$ Force and reaction act on the same body

Statement 5 $:$ Force and reaction act on two different bodies

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