an elephant of mass 500kg stands with all four feet on the ground. each foot has an area of 0.08m^2.calculate the pressure exerted on the ground.[g=10m/s^2]
Yes
To calculate the pressure exerted on the ground by the elephant, we can use the formula:
Pressure = Force / Area
First, let's calculate the force exerted by the elephant. The force is equal to the weight of the elephant, which can be calculated using the formula:
Weight = mass * gravity
Given that the mass of the elephant is 500 kg and the acceleration due to gravity is 10 m/s^2, we can plug these values into the formula:
Weight = 500 kg * 10 m/s^2 = 5000 N
Now, we have the force exerted by the elephant, which is 5000 Newtons.
Next, let's calculate the pressure by dividing the force by the total area. Since all four feet are on the ground, we will consider the total area as four times the individual foot area:
Total Area = 4 * 0.08 m^2 = 0.32 m^2
Finally, we can calculate the pressure:
Pressure = Force / Area = 5000 N / 0.32 m^2 ≈ 15,625 Pa
Therefore, the pressure exerted on the ground by the elephant is approximately 15,625 Pascals.