Acceleration When Pulled By Elastic Cord

AI Thread Summary
The discussion focuses on understanding how a cart's acceleration is influenced when it is pulled by an elastic cord. Participants express difficulty in finding equations that specifically address this scenario, noting the relevance of elastic potential energy, represented by the formula PE_elastic = 1/2 kx^2. There is a suggestion to explore the relationship between potential energy and acceleration through concepts like work done and conservation of energy. The conversation emphasizes the need for a conceptual approach to derive a solution. Overall, the interaction highlights the complexities of motion involving elastic forces.
mill4864
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1. How does a cart being pulled by an elastic cord effect the acceleration of that cart?



2. That's the problem. I can't find any equations that deal with motion of an object pulled by an elastic cord. I was thinking there may be something to do with elastic potential energy \mbox{PE_e_l_a_s_t_i_c} = \frac{1}{2} kx^2 but I don't know of any equations that relate potential energy to acceleration.




3. This is more of a conceptual question, so I'm not sure how I'd write my attempt at a solution, other than saying I think there may be some relation between elastic potential energy and the motion of an object being pulled by an elastic cord.
 
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Hi mill4864! Welcome to PF! :wink:

Let the cart be at position x, and the other end of the cord be at position y …

then use work done and conservation of energy :smile:
 
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