The object with the greater mass has more kinetic energy when both objects are moving at the same speed. Kinetic energy is given by the formula:
\[ KE = \frac{1}{2}mv^2 \]
where \( KE \) is the kinetic energy, \( m \) is the mass, and \( v \) is the velocity. If the speed is the same for both objects, the object with the larger mass will have a greater kinetic energy.