Is power = delta mass x delta momentum/time mulitply by velocity?

Question

mass change with velocity ,force changes with momentum divded by time. is my formula above correct?
Note relativitic mass changes with velocity.

Answer 1

F = d/dt(mv) [the time deravitive of the momentum] = dp/dt where p is the momentum

Work = Energy = F x distance

Power = Energy/time

Power = (F x distance)/time

Power = [(dp/dt) x distance]/t

remember dp/dt = d/dt(mv) = m dv/dt + v dm/dt