vector analysis problem on dimensions
Suppose a sphere of radius r is dropped into a viscous liquid of coefficient of viscosity q, and its velocity at an instant is v. The frictional force, F, acting against the sphere is given by
where k is a constant.
Find,using the method of dimensions, the values of x,y,z.
Note the dimensions of the coefficient of viscosity are [M][L]^-1[T]^-1.
My solutions is as follows;
and get values x,y,z all equal to 1.
Is this correct? I will appreciate any responses.