YouConsider an elephant with a mass of 5:3103 kg. Suppose its feet are approximately circularwith a diameter of 42 cm. How much pressure does this elephant apply to the ground it isstanding on?
Question
YouConsider an elephant with a mass of 5:3103 kg. Suppose its feet are approximately circularwith a diameter of 42 cm. How much pressure does this elephant apply to the ground it isstanding on?
Solution
To calculate the pressure exerted by the elephant on the ground, we can use the formula:
Pressure = Force / Area
First, let's calculate the force exerted by the elephant. The force can be calculated using the equation:
Force = mass * acceleration due to gravity
Given that the mass of the elephant is 5.31 * 10^3 kg and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force:
Force = 5.31 * 10^3 kg * 9.8 m/s^2
Next, we need to calculate the area of the elephant's feet. Since the feet are approximately circular, we can use the formula for the area of a circle:
Area = π * (radius)^2
The diameter of the feet is given as 42 cm, so the radius can be calculated as half of the diameter:
Radius = 42 cm / 2 = 21 cm = 0.21 m
Now we can calculate the area:
Area = π * (0.21 m)^2
Finally, we can substitute the values into the pressure formula:
Pressure = Force / Area
Substituting the calculated force and area values:
Pressure = (5.31 * 10^3 kg * 9.8 m/s^2) / (π * (0.21 m)^2)
Calculating this expression will give us the pressure exerted by the elephant on the ground.
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