Spring Pull Q1: Bob's End Moves 20cm

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When Bob pulls on the right end of a spring with a 200N force, it stretches 20cm, demonstrating Hooke's Law (F=kx). In a tug-of-war scenario, both Bob and Carlos exert 200N on their respective ends of the spring. The total stretch of the spring remains consistent, leading to the conclusion that Bob's end moves 10cm when Carlos pulls the other end an additional 10cm. The wall's reaction force is equal and opposite, confirming that the spring's total stretch does not change. Understanding these principles is crucial for analyzing spring behavior in different scenarios.
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1. The left end of a spring is attached to a wall, When Bob pulls on the right end with a 200N force, he stretches the spring my 20cm. The same spring is then used for a tug-of-war between Bob and Carlos. Each pulls on his end of the spring with a 200N force. How far does Bob's end of the spring move?



2. F=kx



3. Isn't this the same principal as the spring being attached to the wall. Doesn't the wall exert an equal and opposite 200N force since the spring does not move once it is strecthed? If this is so, I believe the answer would be 10cm, because Carlos pulls the spring another 10cm.
 
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Sounds good to me. The key is to realize that the total stretch of the spring is the same in both cases.
 
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