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As long as the drivers apply the brakes appropriately, nothing bad will happen, and both cars will stop. The brakes of the more massive car will heat up a little more, because the more massive car has more momentum which will be dissipated as heat. Presumably, the engineers who designed the brakes took this into account.

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Q: What will happen with 2 cars with different masses travel at the same speed down a hill toward a stop sign?
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