Question

a sphere of radius r moving with a velicity of v under strength line conditions in a visous fluid experience a retarding force ,F, given by f=KrV whose k is a constant derive the S.I unit if K in terms of the base unit

Answer 1

F = krv
kg-m/s^2 = k * m * m/s
that makes k = kg/m-s

Answer 2

F = k r v
Newtons = k meters * meters/second
but Newtons = m a = kg meters/second^2
so
kg m /s^2 = k m m/s
k = kg / m s