Final answer:
The object with the greater mass will have more momentum due to the direct proportional relationship between mass and momentum when velocity is constant. For objects with the same momentum, the one with smaller mass has greater kinetic energy, whereas for objects with the same kinetic energy, the one with larger mass has greater momentum.
Step-by-step explanation:
The scenario involves two objects with the same velocity, but one object is three times bigger than the other. The concept of momentum, which is the product of an object's mass (m) and its velocity (v), is essential here. Given that both objects have the same velocity, the object with the greater mass will have more momentum because momentum is directly proportional to mass.
For example, if we have two cars moving at the same speed, and one car's mass is three times larger than the other, the heavier car will possess three times more momentum. This is because with the same velocity, increasing the mass results in an increase in momentum.
Addressing the related questions:
- Given two objects with the same momentum, the object with smaller mass has the larger kinetic energy because it must have a higher velocity to compensate for its smaller mass.
- Similarly, if two objects have the same kinetic energy, the object with the larger mass will have a larger momentum as it compensates for the lower velocity with its mass.
Misconception Alert: Even though the heavier object has more momentum, if a force acts on both of them, the force is the same due to Newton's third law, which states that for every action, there is an equal and opposite reaction.