A particles of mass `m` moving in a circle of radius `r` with unform speed `v`. The force `F` acting on a particle is proportional ot `m^(a) v^(b) r^(c )`. Find the values of a, b and c.

Explanation

`F prop m^(a) r^(c )`
`[MLT^(-2)] prop [M]^(a) [LT^(-1)]^(b) [L]^(c )`
`M^(1) L^(1) T^(-2) prop M^(a) L^((b + c)) T^(-b)`
Comparing powers of `M, L` and `T`
`a = 1`
`b + c = 1`
`-b = -2`
`a = 1, b = 2, c = -1`