## April 22, 2014

### The ratio of the dimensions of G to those of g is..... ?

The dimension of G can be found by the formula F=Gm1m2/r2
i.e. G=F r2/ m1m2
Dimensions: [F]=MLT-2         [r]=L               [m]=M
So [G] = MLT-2 L2M-2=M-1L3T-2
Now, the dimension of g is given by
[g]=LT-1
Now, finding the ratio of G to g;
ð M-1L3T-2/ LT-1
ð M-1 L2 T-1

Hence it is the ratio of dimensions of G to the dimensions of g.