QQuestionPhysics
QuestionPhysics
The SI unit for force is the newton. Which of the following is equivalent to a newton?
A. kg/m
B. kg·m/s²
C. kg·m/s
D. kg·m/s
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Recall the definition of a newton
A newton (N) is the SI unit of force, defined by its fundamental dimensions. To determine its equivalent unit, we need to examine its dimensional analysis.
Step 3:: Analyze the definition of force
- $$a$$ is acceleration
Where:
Step 4:: Examine the dimensions of force
[F] = [m][a] = [m][\frac{v}{t}] = \frac{kg \cdot m}{s^{2}}
Force dimensions are:
Step 5:: Compare the given options
D. $$kg \cdot m/s$$ - Incorrect dimensions (same as C)
B. kg \cdot m/s^{2} - Matches force dimensions ✓
Final Answer
B. kg \cdot m/s^{2} is equivalent to a newton.
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