A shell explodes and many pieces fly of in different directions . which of the following options is correct

Options

A. Kinetic energy of shell remains conserved
B. Momentum of shell remains conversed
C. Both momentum and kinetic energy of shell remain conversed
D. Neither momentum nor kinetic energy off shell remain conversed

Answer

To solve the question regarding the explosion of a shell and the behavior of its pieces, we will analyze the principles of conservation of energy and momentum.

### Step-by-Step Solution:

1. **Understanding the Explosion**:
- When a shell explodes, it breaks into multiple pieces that fly off in different directions. This is a classic example of an inelastic process where the initial structure is destroyed.

2. **Conservation of Momentum**:
- In an isolated system (where no external forces act), the total momentum before the explosion must equal the total momentum after the explosion.
- Before the explosion, if the shell is at rest, its initial momentum is zero. After the explosion, the vector sum of the momenta of all the pieces must also equal zero.
- Therefore, momentum is conserved during the explosion.

3. **Energy Considerations**:
- While momentum is conserved, the kinetic energy is not necessarily conserved in an explosion. The initial energy (potential energy stored in the shell) is converted into kinetic energy of the fragments and other forms of energy (like sound, heat, etc.).
- This means that the total kinetic energy after the explosion can be greater than the initial kinetic energy, as energy is transformed from potential energy.

4. **Conclusion**:
- Based on the principles of conservation of momentum and the transformation of energy, we conclude that:
- **Momentum is conserved**.
- **Kinetic energy is not conserved**.

5. **Correct Option**:
- Therefore, the correct option regarding the explosion of the shell is that **momentum is conserved** while kinetic energy is not.