8000 J of work is done in order to move a van a distance of 100 m. What is the size of the force applied?

1. Break Down the Problem

To find the force applied to move the van, we can use the relationship between work, force, and distance. The formula for work $W$ is given by:

$W = F \cdot d$

where:

• $W$ is the work done (in joules),
• $F$ is the force applied (in newtons),
• $d$ is the distance over which the force is applied (in meters).

2. Relevant Concepts

We need to rearrange the work formula to solve for the force $F$:

$F = \frac{W}{d}$

3. Analysis and Detail

Now, we can substitute the known values into this formula:

• $W = 8000 \, \text{J}$
• $d = 100 \, \text{m}$

4. Verify and Summarize

Now, let's calculate the force:

$F = \frac{8000 \, \text{J}}{100 \, \text{m}} = 80 \, \text{N}$

Final Answer

The size of the force applied is $80 \, \text{N}$.