# Homework Help: Acceleration When Pulled By Elastic Cord

1. Sep 20, 2009

### mill4864

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.

2. Sep 20, 2009

### tiny-tim

Welcome to PF!

Hi mill4864! Welcome to PF!

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