The object with the greater mass would have more kinetic energy if both objects are moving at the same speed. Kinetic energy is calculated using the formula:
\[ KE = \frac{1}{2} mv^2 \]
where \( KE \) is kinetic energy, \( m \) is mass, and \( v \) is velocity. Since the velocity is the same for both objects, the one with the greater mass will have greater kinetic energy.