Question

2. A Tesla Model 3 weighs approximately 1800 kg. When at rest on a flat surface, the area over which each of four tires contacts the pavement is approximately 200 cm2. Assume the weight of the car is distributed evenly across the four tires. (a) How much pressure is exerted on the ground underneath one tire (b) Now imagine that Prof. Hance is sitting in his chair in his office. His office chair has 5 wheels, each of which contacts the ground over 5 cm2. If he weighs 80 kg, and that weight is evenly distributed across all 5 wheels, is the pressure exerted on the floor by his office chair larger or smaller than the pressure exerted by a Tesla Model 3?

Answer 1

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This problem basically deals with the application of expression for pressure in terms of force exerted on the contact area.

This problem basically deals with the application of expression for pressure in terms of force exerted on the contact area. Tesla models m = 1800 kg g = 9.81 m/s^2 weight w = mg Area of contact of each tyre = 200 cm^2 4 tyres = > 4 times 200 cm^2 Pressure Exered = Net force/Net contact area = mg/4 times 200 cm^2 = 1800 times 9.81/4 times 200 times 10^-4 = 220.725 KPa (kilo Pascals) Office chair m = 80 kg A = 5 cm^2 Total area = 5 times 5 cm^2 Pressure Exerted = mg/5 times 5 cm^2 = 80 times 9.81/5 times 5 times 10^-4 = 313.920 KPa (kilo Pascals) which is larger than the pressure exerted by Tesla model�s car.