No, it requires twice as much force to double the velocity of a 2 kg mass compared to a 1 kg mass. Here's why:

* Newton's Second Law of Motion: This law states that force (F) is directly proportional to mass (m) and acceleration (a): F = ma

* Acceleration: Acceleration is the rate of change of velocity. Doubling the velocity of an object means you are applying a certain amount of acceleration to it.

Let's break it down:

* 1 kg mass: To double the velocity, you need to apply a certain amount of acceleration (a). The force required is F = 1 kg * a.

* 2 kg mass: To double the velocity (the same change in velocity as the 1 kg mass), you need the same acceleration (a). However, the force required is F = 2 kg * a.

Therefore, the force needed to double the velocity of the 2 kg mass is twice that needed for the 1 kg mass.