A student is investigating the relationship between the force applied to the piston of a syringe and the velocity of fluid exiting the syringe. The student wishes to use the equation
v is the velocity of fluid exiting the syringe
F is the force applied to the piston
k is a constant with SI base units m2 s−1
m is the mass of the fluid in the syringe
A is the cross-sectional area of the piston
By considering SI base units on both sides of the equation, state and explain whether this equation is homogeneous.