Assuming bicycle tires are perfectly flexible and support the weight of

bicycle and rider by pressure alone, calculate the total area of the tires in
contact with the ground. The bicycle plus rider has a mass of 80.0 kg,
and the gauge pressure in the tires is 3.50×105 Pa

pressure*area=weight

area=80*9.8/pressure in m^2

1.6

17.4

22.4 cm^2

To calculate the total area of the tires in contact with the ground, we can use the formula:

Area = Weight / (Pressure * Gravitational acceleration)

Where:
Weight = mass * gravitational acceleration
Pressure = gauge pressure in the tires
Gravitational acceleration = 9.8 m/s²

Let's calculate the weight first:

Weight = mass * gravitational acceleration
Weight = 80.0 kg * 9.8 m/s²
Weight = 784 N

Now, we can calculate the area:

Area = Weight / (Pressure * Gravitational acceleration)
Area = 784 N / (3.50x10^5 Pa * 9.8 m/s²)

Let's calculate this using a calculator:

Area ≈ 0.223 m²

Therefore, the total area of the tires in contact with the ground is approximately 0.223 square meters.