About how much pressure do the feet of a 6000-kg elephant exert on the ground? Assume each foot has area of 0.10 square meters.
6000/4 = 1500 kg/elephantfoot
newtons/elephantfoot = 1500*9.8 = 14700 N
14700 N/.1 m^2 = 147,000 Pascals
= 1.47 * 10^5 Pascals
or about one and a half atmospheres above ambient.
A supersonic aircraft produces a shock wave that describes a 30° cone. What happens to the angle of the cone as the aircraft travels faster?
To calculate the pressure exerted by the feet of a 6000-kg elephant on the ground, we can use the formula:
Pressure = Force / Area
First, we need to calculate the force exerted by the elephant's feet on the ground. We can use the equation:
Force = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Force = 6000 kg × 9.8 m/s^2 = 58,800 N
Next, we can calculate the pressure exerted on the ground by dividing the force by the total area of the elephant's feet.
Pressure = 58,800 N / (0.10 m^2 × 4) = 147,000 Pa
Therefore, the feet of a 6000-kg elephant exert a pressure of approximately 147,000 Pascals on the ground.
To calculate the pressure exerted by the feet of a 6000-kg elephant on the ground, we need to use the formula for pressure:
Pressure = Force/Area
The force exerted by the elephant's feet can be calculated using Newton's second law of motion:
Force = Mass * Acceleration
In this case, the acceleration due to gravity will be used for the calculation. The mass of the elephant is given as 6000 kg.
Acceleration due to gravity (g) is approximately 9.8 m/s^2.
Now, we can calculate the force:
Force = Mass * Acceleration = 6000 kg * 9.8 m/s^2
Next, we need to calculate the pressure by dividing the force by the area of each foot. The given area is 0.10 square meters.
Pressure = Force / Area = (6000 kg * 9.8 m/s^2) / 0.10 square meters
Now, let's solve the equation:
Pressure ≈ (6000 kg * 9.8 m/s^2) / 0.10 square meters
Pressure ≈ 58,800 Newtons / 0.10 square meters
Pressure ≈ 588,000 Pascal
Therefore, the approximate pressure exerted by the feet of a 6000-kg elephant on the ground is 588,000 Pascal.