We need to find the mechanical energy of the bird which is equal to the sum of its kinetic energy (due to its motion) and potential energy (due to its height above the ground).
Kinetic energy = 1/2 * mass * velocity^2
Potential energy = mass * gravity * height
where mass is in kilograms, velocity in meters per second, height in meters and gravity is 9.81 m/s^2.
Converting the mass of the bird from grams to kilograms:
mass = 200g = 0.2 kg
Kinetic energy = 1/2 * 0.2 kg * (12 m/s)^2 = 14.4 joules
Potential energy = 0.2 kg * 9.81 m/s^2 * 50 m = 98.1 joules
Mechanical energy = Kinetic energy + Potential energy
Mechanical energy = 14.4 J + 98.1 J = 112.5 J
Therefore, the mechanical energy of the bird is 112.5 joules.
Determine the mechanical energy of a bird of mass 200g flying at 12m/s at a height of 50m above the ground
1 answer
1 answer