Question: Which UNIT will the answer to this operation have?
$$\frac{10\ \text{kg} \cdot m}{5\ m^2}$$
If the units cancel out, choose "No Unit".
If the operation is not valid, choose "Not Valid".
1. **State the problem:** We need to find the unit of the expression $$\frac{10\ \text{kg} \cdot m}{5\ m^2}$$.
2. **Write the units separately:** The numerator has units $$\text{kg} \cdot m$$ and the denominator has units $$m^2$$.
3. **Divide the units:** $$\frac{\text{kg} \cdot m}{m^2} = \text{kg} \cdot \frac{m}{m^2}$$.
4. **Simplify the fraction of meters:** $$\frac{m}{m^2} = \frac{\cancel{m}}{m \cdot \cancel{m}} = \frac{1}{m}$$.
5. **Final unit:** Multiplying back, we get $$\text{kg} \cdot \frac{1}{m} = \frac{\text{kg}}{m}$$.
6. **Conclusion:** The unit of the expression is $$\frac{\text{kg}}{m}$$, which is "kg/m".
Therefore, the answer is **kg/m**.