In case of elastic collision,at the time of impact

Options

A. Total K.E of colliding bodies is conserved
B. total K.E. of colliding bodies is conserved
C. total K.E. of colliding bodies decreases
D. total momentum of colliding bodies decreases

Answer

To solve the question regarding elastic collisions, we need to understand the fundamental principles that govern such interactions. Here’s a step-by-step breakdown of the solution:

### Step 1: Define Elastic Collision
An elastic collision is defined as a collision in which both momentum and kinetic energy are conserved. This means that the total kinetic energy of the system before the collision is equal to the total kinetic energy after the collision.

### Step 2: Analyze the Conservation of Kinetic Energy
In an elastic collision, the kinetic energy of the colliding bodies is conserved. This can be expressed mathematically as:
\[ KE_{initial} = KE_{final} \]
Where:
- \( KE_{initial} \) is the total kinetic energy before the collision.
- \( KE_{final} \) is the total kinetic energy after the collision.

### Step 3: Analyze the Conservation of Momentum
Similarly, the momentum of the colliding bodies is also conserved during an elastic collision. This can be expressed as:
\[ p_{initial} = p_{final} \]
Where:
- \( p_{initial} \) is the total momentum before the collision.
- \( p_{final} \) is the total momentum after the collision.

### Step 4: Conclusion
Given the definitions and principles of elastic collisions, we can conclude that at the time of impact:
- The total kinetic energy of the colliding bodies is conserved.

Thus, the correct answer to the question is that the total kinetic energy of colliding bodies is conserved.

### Final Answer:
Total kinetic energy of colliding bodies is conserved.

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