Question

For a head-on collision, calculate the total energy when the two bodies collide at a distance of 2 fm (femtometer).

• A. \( 5.76 \times 10^{-14} \, \text{J} \)
• B. \( 3.6 \times 10^{-19} \, \text{J} \)
• C. \( 7.2 \times 10^{-14} \, \text{J} \)
• D. \( 7.2 \times 10^{-10} \, \text{J} \)

Hint:

In head-on collisions, the energy depends on the distance between the two bodies and the force of their interaction. The energy is calculated using the potential energy formula.

Answer 1

The Correct Option is A

Step 1: Understanding the concept of energy in head-on collisions.
For a head-on collision, the total energy can be calculated using the formula for the interaction between two bodies at a given distance. The energy depends on the force and potential energy between the particles.
Step 2: Applying the formula for energy.
Given the distance of 2 fm (femtometer), the total energy for the collision is approximately \( 5.76 \times 10^{-14} \, \text{J} \).
Step 3: Conclusion.
The correct energy is \( 5.76 \times 10^{-14} \, \text{J} \), so the correct answer is (A).