Question

A crane lifts a load of logs 3 meters with a force of 5,200 Newtons. How much work did the crane do?

a
150,000 J
b
1560 J
c
150 J
d
15,600 J

Answer 1

To calculate the work done by the crane, you can use the formula:

\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]

In this case, the crane is lifting the load vertically, so the angle \(\theta\) between the force and the direction of motion is 0 degrees (cos(0) = 1). Thus, the formula simplifies to:

\[
\text{Work} = \text{Force} \times \text{Distance}
\]

Given:
- Force = 5,200 Newtons
- Distance = 3 meters

Now, substituting the values:

\[
\text{Work} = 5,200 \, \text{N} \times 3 \, \text{m} = 15,600 \, \text{J}
\]

So, the work done by the crane is **15,600 Joules**.

The correct answer is:
**d) 15,600 J**.