Hello

1) The work W is calculated as the product between the force F applied to the cart and the distance d covered by the cart:

2) The force is the product of the mass m of the cart and its acceleration a:

If we use this into the formula of the work, we get

3) The cart is moving by accelerated motion. For this kind of motion, we have the following relationship:

where

and

are the final and the initial velocity of the cart.

Re-arranging we have

4) Therefore, we can subsitute

into the original formula of the work, and we get

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A block and tackle or only tackle is a system of two or more pulleys with a rope or cable threaded between them, usually used to lift heavy loads.

**Answer:**

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