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The longer spanner gives you a greater "mechanical advantage". If you search for "The six simple machines" there are loads of excellent explanations... you can think of the spanner as a either lever with the pivot point (or fulcrum) at one end, or as a single spoke from a wheel (where the nut is the middle of the wheel).

Work is a force acting over a distance. Work (Joules) = Force (Newtons) x Distance (metres).

Your muscles have a fixed maximum output of work... by using a longer spanner you are making the distance longer, so the amount of force needed to get the work done at the end you pull on gets smaller.

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