To determine how much work the eagle did in carrying the fish up into the sky, we can use the formula for work:
[tex]\[ W = F \cdot d \][/tex]
where:
- \( W \) is the work done,
- \( F \) is the force applied,
- \( d \) is the distance over which the force is applied.
Given data:
- The force (\( F \)) the eagle used is \( 90 \, \text{N} \).
- The distance (\( d \)) the eagle flew upward is \( 50 \, \text{m} \).
We substitute these values into the formula:
[tex]\[ W = 90 \, \text{N} \times 50 \, \text{m} \][/tex]
Multiplying these together:
[tex]\[ W = 4500 \, \text{J} \][/tex]
So, the work done by the eagle is \( 4500 \, \text{J} \).
The correct answer from the given options is:
[tex]\[ 4500 \, \text{J} \][/tex]