13. How far is box pulled, if a motor does 400 J of work with resultant force of 20 N.

1. ### Break Down the Problem

We need to find the distance $d$ the box is pulled. We have:

• Work done $W = 400 \, \text{J}$
• Resultant force $F = 20 \, \text{N}$

2. ### Relevant Concepts

The work done by a force is calculated using the formula: $W = F \times d$ Where:

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

3. ### Analysis and Detail

We need to rearrange the formula to solve for the distance $d$: $d = \frac{W}{F}$ Substituting the given values: $d = \frac{400 \, \text{J}}{20 \, \text{N}}$

4. ### Verify and Summarize

Calculating the values: $d = 20 \, \text{m}$ The box is pulled a distance of 20 meters when a motor does 400 joules of work with a resultant force of 20 newtons.

Final Answer

The box is pulled 20 meters.