With the tire 15 cm wide, the contact patch is 6 cm long. Now load the car with 50% more weight (500 kg). The additional contact area needed is 55 cm^2 per tire. If you assume that the side walls don't deform, the contact length increases to 9 cm.
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Mount Rainier National Park. Mount Rainier National Park is a United States National Park located in southeast Pierce County and northeast Lewis County in Washington state.[3] It was established on March 2, 1899 as the fifth national park in the United States.