Suppose a 300–g kookaburra (a large kingfisher bird) picks up a 84.0–g snake and raises it 2.30 m from the ground to a branch. How much work did the bird do on the snake? How much work did it do to raise its own center of mass to the branch?
Suppose a 300–g kookaburra (a large kingfisher bird) picks up a 84.0–g snake and raises it 2.30 m from the ground to a branch. How much work did the bird do on the snake? How much work did it do to raise its own center of mass to the branch?
I got the first question but not the last
work to raise its own cm
work=.300*g*2.30 Joules
To calculate the work done, we need to use the formula:
Work = Force × Distance
1. Work done on the snake:
First, let's find the force exerted by the bird on the snake. The force can be calculated using the equation:
Force = Mass × Acceleration
The acceleration due to gravity is approximately 9.8 m/s^2.
Force = (Mass of the snake) × (Acceleration due to gravity)
Force = 0.084 kg × 9.8 m/s^2
Force ≈ 0.8232 N
Now we can calculate the work done on the snake. The distance is given as 2.30 m.
Work = Force × Distance
Work = 0.8232 N × 2.30 m
Work ≈ 1.89 Joules
Therefore, the bird did approximately 1.89 Joules of work to lift the snake.
2. Work done on itself:
The work done to raise the bird's center of mass to the branch can be calculated using the same formula. The only difference is that we need to consider the weight of the bird itself.
The total mass is given as 300 g for the kookaburra and 84 g for the snake. We need to convert these values to kilograms.
Mass of the bird = 300 g = 0.300 kg
Mass of the snake = 84 g = 0.084 kg
Force (bird) = (Mass of the bird) × (Acceleration due to gravity)
Force (bird) = 0.300 kg × 9.8 m/s^2
Force (bird) ≈ 2.94 N
Force (total) = Force (bird) + Force (snake)
Force (total) ≈ 2.94 N + 0.8232 N
Force (total) ≈ 3.7632 N
Now we can calculate the work done by the bird to raise its own center of mass. The distance is still 2.30 m.
Work = Force × Distance
Work = 3.7632 N × 2.30 m
Work ≈ 8.65 Joules
Therefore, the bird did approximately 8.65 Joules of work to raise its own center of mass to the branch.
To calculate the work done, we use the formula:
Work = Force x Distance
For the first part of the question, we need to determine the force exerted by the kookaburra on the snake to raise it to the branch. The force can be calculated using Newton's second law, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
Force = mass x acceleration
In this case, the mass of the snake is 84.0 g, which can be converted to kilograms by dividing by 1000:
Mass of snake = 84.0 g / 1000 = 0.084 kg
The acceleration experienced by the snake is due to gravity and is equal to the acceleration due to gravity (g), which is approximately 9.8 m/s²:
Acceleration due to gravity (g) = 9.8 m/s²
We can now calculate the force exerted by the kookaburra on the snake:
Force = mass x acceleration = 0.084 kg x 9.8 m/s² = 0.8232 N
Next, we need to calculate the distance over which the force was exerted. The distance is given as 2.30 m.
Now we can calculate the work done by the kookaburra on the snake:
Work = Force x Distance = 0.8232 N x 2.30 m = 1.89336 J
Therefore, the work done by the kookaburra on the snake is approximately 1.89 Joules.
For the second part of the question, we need to calculate the work done by the kookaburra to raise its own center of mass to the branch. The work done in lifting an object against gravity is given by the same formula: Work = Force x Distance.
To calculate the force exerted by gravity on the kookaburra, we use its mass, which is given as 300 g:
Mass of kookaburra = 300 g / 1000 = 0.3 kg
Now, we can calculate the force exerted by gravity:
Force = mass x acceleration = 0.3 kg x 9.8 m/s² = 2.94 N
The distance over which the force was exerted is again 2.30 m.
Now we can calculate the work done by the kookaburra to raise its own center of mass:
Work = Force x Distance = 2.94 N x 2.30 m = 6.762 J
Therefore, the work done by the kookaburra to raise its own center of mass to the branch is approximately 6.76 Joules.