Exam-style question
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An equation states that force (F) is equal to mass (m) multiplied by acceleration (a). If the mass is 5 kg and the acceleration is 2 m/s², check if the equation is homogeneous by comparing the units on both sides.
Model answer
What a good answer should say
- The left side has units of N (newtons), and the right side has units of kg·m/s².
- Since 1 N = 1 kg·m/s², the equation is homogeneous.
Explanation
Why this works
This question tests the understanding of unit consistency in equations. By checking the units, students demonstrate their ability to confirm whether the equation is valid in terms of dimensional analysis.
Common mistake
No common mistake is linked to this question yet.