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A shell is fired from a cannon, it explo...

A shell is fired from a cannon, it explodes in mid air, its total

A

1. momentum increases

B

2. momentum decreases

C

3. KE increases

D

4. KE decreases

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem regarding the shell fired from a cannon that explodes in mid-air, we will analyze the situation step by step. ### Step 1: Understanding the Scenario A shell is fired from a cannon and it explodes in mid-air. We need to analyze the effects of this explosion on the momentum and kinetic energy of the shell. **Hint:** Consider the laws of motion and conservation principles when analyzing the effects of the explosion. ### Step 2: Applying the Principle of Conservation of Momentum According to the principle of conservation of momentum, in an isolated system (where no external forces are acting), the total momentum before an event must equal the total momentum after the event. - Before the explosion, the shell has a certain momentum based on its mass and velocity. - After the explosion, the momentum of the shell is distributed among the fragments produced by the explosion. **Hint:** Remember that momentum is a vector quantity and must be conserved in both magnitude and direction. ### Step 3: Analyzing the Options The question provides several options regarding the changes in momentum and kinetic energy after the explosion: 1. Momentum increases. 2. Momentum decreases. 3. Kinetic energy increases. 4. Kinetic energy decreases. From our understanding of momentum conservation, we can conclude that: - **Options 1 and 2** (momentum increases or decreases) cannot be true because momentum must remain constant in the absence of external forces. **Hint:** Focus on the conservation laws to eliminate options that contradict these principles. ### Step 4: Kinetic Energy Consideration When the shell explodes, the chemical energy stored in it is converted into kinetic energy of the fragments. This means that the total kinetic energy of the system increases due to the explosion. - The explosion adds energy to the system, thus increasing the kinetic energy of the fragments. **Hint:** Consider how energy transformations affect the total kinetic energy of the system. ### Step 5: Conclusion Based on the analysis, we can conclude that: - The momentum of the shell remains constant (it does not increase or decrease). - The kinetic energy of the shell increases due to the explosion. Thus, the correct answer is that the kinetic energy increases. ### Final Answer The correct option is: **Kinetic energy increases.** ---
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