Answer:
P = m g v
Explanation:
Power is defined as the relationship between work and time
P = W / t
The work is defined by the scalar product of the force and the displacement, in the case of a drop falling the vertical force and the displacement has the same direction, therefore the angle between them is zero and the cosines of zero is one (cos 0 = 1)
W = F y
the gravitational force is proportional to the weight of the drop (F = mg)
W = mg y
we substitute
P = m g y / t
the terminal velocity of the drop is constant
P = m g v
