Obtain an expression for the centripetal force F acting on a particle of mass m moving with velocity v in a circle of radius r . Take dimensionless constant K = 1 .

Explanation

`Fpropm^(a)`
`propv^(b)`
`r^(c)`
`F=km^(a)v^(b)r^(c)`
`[MLT^(-2)]=[M]^(a)[LT^(-1)]^(b)[L]^(c)`
`[M][L][T^(-2)]=[M]^(a)[L]^(b+c)[T]^(-b)`
Comparing powers of m, L and T
`a = 1" "b+c = 1" " –2 = –b`
`b = –1 " " b = 2`
`F=k(mv^(2))/(r)`