Answer :
Final answer:
The mechanical energy associated with the bird sitting on the wire is 143.24 J.
Explanation:
The mechanical energy (ME) associated with the bird sitting on the wire can be calculated as the sum of its potential energy (PE) and kinetic energy (KE). The potential energy is given by the formula PE = mgh, where m is the mass of the bird (0.65 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the bird above the ground (22 m). Substituting the values, we get PE = (0.65 kg)(9.8 m/s²)(22 m) = 143.24 J. Since the bird is sitting, it has no kinetic energy (KE = 0).
Therefore, the total mechanical energy (ME) associated with the bird sitting on the wire is equal to its potential energy, which is 143.24 J.
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Final answer:
The mechanical energy associated with a 0.65 kg bird sitting 22 m above the ground is calculated using the gravitational potential energy formula PE = mgh, resulting in approximately 140 J.
Explanation:
To calculate how much mechanical energy is associated with a 0.65 kg bird sitting on a wire 22 m from the ground, we need to consider the potential energy because the bird is not moving and therefore its kinetic energy is zero. The formula for gravitational potential energy (PE) is PE = mgh, where m is mass, g is the acceleration due to gravity (9.8 m/s²), and h is the height above the ground.
Using the given values:
- Mass (m) = 0.65 kg
- Gravity (g) = 9.8 m/s²
- Height (h) = 22 m
The calculation is:
PE = 0.65 kg * 9.8 m/s² * 22 m = 140.14 J
Since the bird is not moving, there is no kinetic energy to add, thus mechanical energy is equal to the potential energy, which is approximately 140 J.
