By putting wider tires on your car, you have spread out the 3000 pounds over a greater surface area. Your rain, snow, and ice performance will probably be negatively affected by the change.
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The spreading out part is true. But negatively affected is not true. By the magic of physics, we know that 3000 pounds on 1 square inch of tire will experience the same frictional force in total as 3000 pounds on 100 square inches.
Matt Timion 
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