A truck has two wheels and the area of each wheel is 3 square meters and the total pressure exerted by the truck on the ground is 20 000Pa. Find the mass of the truck.
To find the mass of the truck, we can use the formula:
Pressure = Force / Area
In this case, we know the pressure exerted by the truck on the ground (20,000 Pa) and the area of each wheel (3 square meters). We can assume that the pressure is evenly distributed between the two wheels.
First, let's calculate the force exerted by one wheel on the ground:
Force = Pressure x Area
Force = 20,000 Pa x 3 m^2
Force = 60,000 N
Since there are two wheels, the total force exerted by the truck on the ground is 2 times the force of one wheel:
Total Force = 2 x 60,000 N
Total Force = 120,000 N
Now, we can use Newton's second law of motion (F = ma) to find the mass of the truck. The weight of an object is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s^2).
Weight = Force = mass x acceleration due to gravity
120,000 N = mass x 9.8 m/s^2
To find the mass, we can rearrange the equation:
mass = 120,000 N / 9.8 m/s^2
mass = 12,244 kg
Therefore, the mass of the truck is approximately 12,244 kg.