You are given an equation: mv = Ft, where m is mass, v is speed, F is force and t is time. Check the equation for dimensional correctness.
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Answered by
8
Answer ⇒ Yes, the equation is dimensionally correct.
Explanation ⇒ Given equation,
mv = Ft
Taking L.H.S.,
Dimension of mv = [m][v]
= [M][LT⁻¹]
= [MLT⁻¹]
Taking R.H.S.,
Dimension of Ft = [F][t]
= [ma][t]
= [M][LT⁻²][T]
= [MLT⁻²⁺¹]
= [MLT⁻¹]
Thus, L.H.S. = R.H.S.
Hence, the given equation is dimensionally Correct, thus this equation might( not surely) be correct.
Hope it helps.
Answered by
2
Answer:
Taking L.H.S.,
Dimension of mv = [m][v]
= [M][LT⁻¹]
= [MLT⁻¹]
Taking R.H.S.,
Dimension of Ft = [F][t]
= [ma][t]
= [M][LT⁻²][T]
= [MLT⁻²⁺¹]
= [MLT⁻¹]
Thus, L.H.S. = R.H.S.
Explanation:
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