Answer :

To solve the problem of how far James moves the 108 kg bag of gravel using 67 joules (J) of energy, we can use the concept of work and energy. Work is calculated using the formula:

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

Since we need to find the distance, we can rearrange this formula to:

[tex]\[ \text{Distance} = \frac{\text{Work}}{\text{Force}} \][/tex]

For horizontal movement, we assume that the surface is frictionless or that the frictional force is negligible because it isn't specified. In a real-world scenario, friction would play a role, but for this problem, we simplify it by focusing on the work done and assume minimal resistance.

The force needed to move an object horizontally on a frictionless surface is minimal. Therefore, in this situation, the distance moved can be directly related to the work done when overcoming any small friction or with just the application of effort.

Since we know that James did 67 joules of work:

- If we assume all of that work went into moving the bag horizontally without opposing forces like friction, then the distance directly corresponds to the amount of work done.

Therefore, the distance James moved the bag of gravel is 67 meters.

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Rewritten by : Barada