1.

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

Answer»

SOLUTION :`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)`


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