Lighter object will have greater kinetic energy. This is because if both the lighter and heavier objects have the same momentum then it is clear that lighter object will have the greater velocity and since kinetic energy is velocity dominant so the lighter object with higher velocity will have higher kinetic energy.

See now P = MV Hence p is directly proportional to MV and m is inversely proportional to vSo as mass increase v decrease and as v increase m decrease

Introduction:

When two bodies have the same momentum, it means that their product of mass and velocity is equal. However, since one body is heavier than the other, their velocities will be different. In this explanation, we will compare the velocities of these two bodies and understand the relationship between mass and velocity in terms of momentum.

Understanding Momentum:

Momentum is a fundamental concept in physics that describes the motion of an object. It is defined as the product of an object's mass and its velocity. Mathematically, momentum (p) can be represented as:



Where 'p' is the momentum, 'm' is the mass of the object, and 'v' is its velocity.

Comparing the Velocities:

Since the two bodies have the same momentum, we can equate their momentum equations:



Where 'm1' and 'm2' are the masses of the two bodies, and 'v1' and 'v2' are their respective velocities.

Relationship between Mass and Velocity:

From the equation above, we can derive the relationship between the velocities of the two bodies:



This equation shows that the ratio of the velocities is equal to the ratio of the masses.

Conclusion:

In conclusion, when two bodies have the same momentum but different masses, their velocities will be inversely proportional to their masses. The heavier body will have a smaller velocity compared to the lighter body. This relationship between mass and velocity in terms of momentum is crucial in understanding the behavior of objects in motion and is a fundamental concept in physics.