Question

if energy (E) , velocity(v) and force (F) be taken as fundamental quantity then what are the dimension of mass​

Answer 1

Answer:[M^0   L^0    T^0]. M will dimension less.

Explanation:because if we do E÷V×F. Then we get M is a dimension less Quantity.

Answer 2

[E]^a[v]^b[F]^c = [m]

[E] = [ML²T-²]

[F] = [MLT-²]

[v] = [ LT-¹]

So a+c = 1

2a+b+c = 0

2a + 2c +b = 0

solving these 3 eqns.

a=1 , b=-2 , c=0

[m]=[E]¹[v]-²