To find the efficiency of the space heater, we can use the formula:
\[ \text{Efficiency} = \left( \frac{\text{Useful energy output}}{\text{Total energy input}} \right) \times 100% \]
In this case, the useful energy output is the thermal energy produced, which is 896 joules.
The total energy input is given as 1,400 joules.
Now, we can calculate the efficiency:
\[ \text{Efficiency} = \left( \frac{896 , \text{joules}}{1,400 , \text{joules}} \right) \times 100% \]
\[ \text{Efficiency} = \left( 0.64 \right) \times 100% = 64% \]
So, the space heater’s efficiency is 64%.