Analysis of a Power Law Suppose we are told that the acceleration (a) of a particle moving with uniform speed (v) in a circle of radius (r) is proportional to some power of r, say (r"), and some power of (v), say (vm). Determine the values of (n) and (m) and write the simplest form of an equation for the acceleration. Hint: use an expression for (a) with a dimensionless constant of :proportionality (k) a = k rn vm