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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?

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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.

This problem has been solved

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