Final answer:
The bird did 0.762 Joules of work to pull the worm out of the ground by applying a force of 10 N over a distance of 3 inches (0.0762 meters).
Step-by-step explanation:
The question relates to the physics concept of work, which is defined as the product of the force applied to an object and the distance over which that force is applied, provided that the force is applied in the direction of the displacement. In this specific problem, a bird uses a force of 10 N to pull a worm out of the ground, moving it a distance of 3 inches. To calculate the work done by the bird, we must ensure that both the force and the distance are in compatible units. Since the SI unit of work is the Joule (J), where 1 J = 1 N·m, and 1 inch is 0.0254 meters, we first need to convert the distance from inches to meters:
3 inches × 0.0254 m/inch = 0.0762 meters
Next, using the work formula W = force × distance, we can calculate the work done:
W = 10 N × 0.0762 m
W = 0.762 Joules
Therefore, the bird did 0.762 Joules of work to pull the worm out of the ground.