To find the work done on the dirt, we can use the formula for efficiency:
\[ \text{Efficiency} = \frac{\text{Work output}}{\text{Work input}} \times 100% \]
Given that the efficiency is 95% and the work input (energy applied by the gardener) is 2,000 joules, we can rearrange the formula to find the work output:
\[ \text{Work output} = \text{Efficiency} \times \text{Work input} \]
Substituting in the values, we convert the efficiency percentage to a decimal:
\[ \text{Work output} = 0.95 \times 2000 , \text{joules} \]
Calculating the work output:
\[ \text{Work output} = 1900 , \text{joules} \]
So, the work done on the dirt is 1,900 joules.