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

Which best represents the law of conservation of mass ?

If a simple machine reduces the strength of a force, what must be increased?

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?