Final answer:
The work done in pulling the crate up the incline is 392 J (joules).
Step-by-step explanation:
To calculate the work done in pulling the crate up the incline, we can use the formula:
Work = force x distance x cosine(angle)
Given that the crate has a mass of 8.0 kg and is being pulled up a 30° incline for a distance of 5.0 m, we can calculate the force using the formula:
Force = mass x acceleration
Since the crate is being pulled up the incline, we need to calculate the component of the force parallel to the incline:
Force_parallel = Force x sin(angle)
Once we have the force parallel to the incline, we can calculate the work done using the formula:
Work = Force_parallel x distance
Plugging in the values, we get:
Work = (8.0 kg x 9.8 m/s^2 x sin(30°)) x 5.0 m
Work = 392 J (joules)