To calculate the work done by the forklift on the crate, we can use the formula for work, which is:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- \(\text{Force}\) is the force applied (in newtons),
- \(\text{Distance}\) is the distance over which the force is applied (in meters),
- \(\theta\) is the angle between the force and the direction of motion.
In this case:
- The force applied by the forklift is equal to the weight of the crate, which is 1,020 N.
- The distance moved upwards by the crate is 3.50 m.
- Since the force and the distance are in the same direction (both upward), \(\theta = 0\) degrees.
The cosine of 0 degrees is 1. Thus, the formula simplifies to:
\[ \text{Work} = \text{Force} \times \text{Distance} \] \[ \text{Work} = 1,020 , \text{N} \times 3.50 , \text{m} \] \[ \text{Work} = 3,570 , \text{J} , (\text{joules}) \]
Therefore, the work done by the forklift on the crate is 3,570 Joules.
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