A cyclist and his bicycle have a combined mass of 55 kg. The total area of the tyres in contact with the road is 2.2 × 10^-3 m² Calculate the pressure exerted on the ground. gravitational field strength, g=10 Nkg^-1
dude
To calculate the pressure exerted on the ground by the cyclist and the bicycle, you can use the formula:
Pressure = Force / Area
The force can be calculated by multiplying the total mass of the cyclist and the bicycle by the gravitational field strength:
Force = Mass x Gravitational Field Strength
Given that the combined mass of the cyclist and the bicycle is 55 kg and the gravitational field strength is 10 Nkg^-1, we can calculate the force:
Force = 55 kg x 10 Nkg^-1
Force = 550 N
Now, we can substitute the values of force and area into the formula to calculate the pressure:
Pressure = Force / Area
Pressure = 550 N / 2.2 × 10^-3 m²
To simplify the calculation, we should convert the area from square meters to square millimeters since the pressure is usually measured in pascals (Pa), which is equal to N/m²:
1 m² = 1,000,000 mm²
Converting the area:
Area = 2.2 × 10^-3 m²
Area = 2.2 × 10^-3 x 1,000,000 mm²
Area = 2200 mm²
Now, we can calculate the pressure:
Pressure = 550 N / 2200 mm²
Pressure ≈ 0.25 Pa
Therefore, the pressure exerted on the ground by the cyclist and the bicycle is approximately 0.25 pascals.
pressure = force/area
so plug in your numbers.