DevGautam
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Who I Am: Got it π Letβs carefully rewrite and clarify your dimensional analysis of Force step by step:
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Step 1: Write the relation
F = m \cdot a
Step 2: Express in dimensions
Mass β
Acceleration β
So,
[F] = [M] \cdot [LT^{-2}] = [MLT^{-2}]
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Step 3: Express in SI base units
Mass β
Length β
Time β
So,
1 \,\text{N} = 1 \,\text{kg} \cdot \text{m s}^{-2}
That means:
1\, \text{Newton} = 1\, \frac{\text{kgΒ·m}}{\text{s}^2}
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β
Final Answer:
[F] = [MLT^{-2}] \quad \text{and} \quad 1N = 1
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