The kinetic energy (KE) of an object is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]
where \( m \) is the mass of the object and \( v \) is its velocity.
From this equation, it is clear that if the mass of the object increases while the velocity remains constant, the kinetic energy will also increase. Specifically, kinetic energy is directly proportional to mass; thus, more massive objects will have more kinetic energy if they are moving at the same speed.
If the mass increases while the velocity also increases, the kinetic energy will increase even more significantly, since it depends on both the mass and the square of the velocity.
In summary, as mass increases, while keeping velocity constant, the kinetic energy of an object increases proportionally to the increase in mass.