Final answer:
The object with the larger mass will have the largest kinetic energy. This is because the kinetic energy equation includes the mass of the object.
Step-by-step explanation:
Momentum is directly proportional to an object's mass and velocity. Kinetic energy is given by the equation K = 1/2mv^2, where m is the mass and v is the velocity of the object.
In this scenario, both objects have the same momentum. However, the object with the larger mass will have the largest kinetic energy. This is because the kinetic energy equation includes the mass of the object.
Therefore, in this case, the object with the larger mass will have the largest kinetic energy.