If velocity (V) , force (F), and energy (E) are taken as fundamental units , then find the dimensional formula for mass.

If velocity (V) , force (F), and energy (E) are taken as fundamental u

1.	If velocity (V) , force (F), and energy (E) are taken as fundamental units , then find the dimensional formula for mass.
Answer» Let `M = V^(a) F^(b) E^( c ) ` Putting dimensioons of each quantities on both sides `[M] = [LT^(-1)] ^(a) [MLT^(-2)]^(b) [ML^(2)T^(2)] c` Equating powers of dimensions , we have ` b + c =1 , a+b + 2 c = 0 , and -a -2b- 2c = 0` Solving these equations , ` a = -2 , b = 0 , and c= 1`. So ` M = [ V^(-2) F^(0) E]`

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If velocity (V) , force (F), and energy (E) are taken as fundamental units , then find the dimensional formula for mass.

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