Work is calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- \( \text{Force} \) is the force applied,
- \( \text{Distance} \) is the distance over which the force is applied,
- \( \theta \) is the angle between the force and the direction of motion.
In this case, we'll assume that Natalia is lifting the bag directly upward against gravity, which means the angle \( \theta = 0^\circ \) (the force and the direction of movement are the same). Thus, \( \cos(0) = 1 \).
Given:
- Force \( F = 36 , \text{N} \)
- Distance \( d = 0.50 , \text{m} \)
We can substitute these values into the formula:
\[ \text{Work} = 36 , \text{N} \times 0.50 , \text{m} \times \cos(0) \] \[ \text{Work} = 36 , \text{N} \times 0.50 , \text{m} \times 1 \] \[ \text{Work} = 36 , \text{N} \times 0.50 , \text{m} = 18 , \text{J} \]
So, the work done by Natalia on the bag is
\(\boxed{18 , \text{J}}\).
2 answers