An eagle has a mass of 8 kg and is flying 85 m above the ground with a speed of 20 m/s. What is the total mechanical energy of the eagle?A.1600 JB.6664 JC.10,220 JD.8264 J
Question
An eagle has a mass of 8 kg and is flying 85 m above the ground with a speed of 20 m/s. What is the total mechanical energy of the eagle?A.1600 JB.6664 JC.10,220 JD.8264 J
Solution
The total mechanical energy of the eagle can be calculated by adding its kinetic energy and potential energy.
The formula for kinetic energy (KE) is 1/2 * mass * velocity^2. The formula for potential energy (PE) is mass * gravity * height.
Given: Mass (m) = 8 kg Velocity (v) = 20 m/s Height (h) = 85 m Gravity (g) = 9.8 m/s^2
First, calculate the kinetic energy: KE = 1/2 * m * v^2 KE = 1/2 * 8 kg * (20 m/s)^2 KE = 1600 J
Next, calculate the potential energy: PE = m * g * h PE = 8 kg * 9.8 m/s^2 * 85 m PE = 6664 J
Finally, add the kinetic energy and potential energy to find the total mechanical energy: Total mechanical energy = KE + PE Total mechanical energy = 1600 J + 6664 J Total mechanical energy = 8264 J
So, the correct answer is D. 8264 J.
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