Two blocks with spring (no friction), force applied: displacement?

AI Thread Summary
A 2kg and a 3kg block are connected by a spring on a frictionless surface, with a 15N force applied to the 3kg block. The discussion revolves around calculating the spring's displacement from its equilibrium length using the spring constant of 140 N/m. Initial calculations suggest dividing the force by the spring constant, but further analysis indicates the need to consider the net force acting on the system due to the difference in gravitational forces on the blocks. The correct approach involves adjusting the applied force by accounting for the weight of the blocks before applying the spring constant. The conversation highlights the importance of understanding the dynamics of the system rather than treating the spring in isolation.
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Homework Statement



A 2kg block & 3kg block (left & right, respectively) are on a horizontal frictionless surface connected by a spring with K=140 N/m. A 15N force is applied to the 3kg block towards the right. How much does the spring stretch from its equilibrium length?


Homework Equations



F=-kx
others, maybe?

The Attempt at a Solution



I simply did force over constant, which is 15/140=0.107m. Is it this simple, or do you use the masses in some way?

Thank you!
 
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the gravitational force of the 3kg is going to be more than the 2 kg gravitational force. So, when you pull with 15N to the right, it will not act like a fixed spring constant. So, what you should do is say 3-2kg=1kg so the resultant will include 9.81 Newtons in terms of the spring being moved, not the entire system which includes the spring and the two blocks. So, I think the answer is 15N-9.81N then you multiply by its constant.
 
Oh ok, that makes more sense. But wouldn't you divide by the constant instead of multiplying by the constant, so the final answer would be N/(N/m)=m?
 
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