m represent mass in kg
v represents speed in m/s
r represents radius in m
Now, just substitute these into the formula:
[tex]F = \frac{m* v^{2} }{r} =\frac{kg* ( \frac{m}{s} )^{2} }{m} =\frac{kg* \frac{m^{2}}{s^{2}} }{m} = \frac{kg*m^{2}}{s^{2}*m } =\frac{kg*m}{s^{2} }[/tex]
