Question

find dimensions of gravitational constant G from the formula F=G m1m2/r*2​

Answer 1

Explanation:

F=Gm1⋅m2r2

The unit for F is kg m / s2, so its dimension is [M][L][T]−2.

The unit for both m1 and m2 is kg, so their dimension is [M].

The unit for r is m, so its dimension is [L].

[M][L][T]−2=G[M][M][L]2

[M][L][T]−2=G[M]2[L]−2

G=[M]−1[L]3[T]−2