Suppose a 350-g kookaburra (a large kingfisher bird) picks up a 75-g snake and raises it 2.5 m from the ground to a branch. (a) How much work did the bird do on the snake? (b) How much work did it do to raise its own center of mass to the branch?
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The amount of work done by the bird in raising a snake from the ground to a branch can be calculated by equating the amount of work done to the gravitational potential energy of the snake at that height.
The gravitational potential energy PEs of the snake at a height h from the ground is
Where, g = acceleration due to gravity = 9.8 m/s2
m = mass of the snake = 75 g = 7510-3 kg
h = distance from the ground = 2.5 m
This potential energy is equal to the work done by the kookaburra on snake.
Substitute 7510-3 kg for m, 9.8 m/s2 for g, 2.5 m for h
= ( 75
= 1.837 J
Therefore, the amount of work done by the kookaburra bird on the snake is 1.837 J .