Solving a Physics Shell Explosion Question

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Homework Help Overview

The discussion revolves around a physics problem involving projectile motion and an explosion. A shell is launched with a specific initial velocity and angle, and upon reaching the peak of its trajectory, it explodes into two fragments. The problem requires determining the landing distance of one fragment after the explosion, assuming negligible air resistance.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of momentum in the x-direction post-explosion and question how to approach the problem given the unrealistic nature of the scenario. There are considerations about the initial conditions at the moment of explosion and the subsequent motion of the fragments.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the problem. Some have suggested focusing on the conservation of momentum and the horizontal distance traveled by the fragments, while others express uncertainty about the realism of the scenario and seek confirmation from more experienced members.

Contextual Notes

There is a mention of the assumption that air resistance is negligible, and participants are questioning the implications of the explosion on the motion of the fragments. The original poster expresses difficulty in starting the problem, indicating a need for foundational understanding.

clucky
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Hey everyone! I'm a newbie here, how are you all today?
Anywho, I was doing my physics homework and I came across this question, and I'm stuck :( Can anyone tell me just how to start it?

A shell is shot with an initial velocity of 20 m/s, at an angle of 60 degrees with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible?

Totally stuck! Don't even know where to start :(
Thanks for your help!
 
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edit: scratch my idea. I have to think about this more.

2nd edit: ok. Assuming the the explosion means "breaks into two parts without making too much of a fuss" and air resistance is neglected the system's momentum's x-component is conserved and you can solve the x component of velocity of the half that keeps moving in the x-direction. Can you do it from here on?

If approached like this the problem is so unrealistic that I'm not sure if I'm giving you good advice. Maybe some of the official homework helpers could confirm this? It feels odd to think about a system that breaks up like this but since you can break up the equations of motions into components the system's momentum's x-component should be conserved.
 
Last edited:
clucky said:
Hey everyone! I'm a newbie here, how are you all today?
Anywho, I was doing my physics homework and I came across this question, and I'm stuck :( Can anyone tell me just how to start it?

A shell is shot with an initial velocity of 20 m/s, at an angle of 60 degrees with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible?

Totally stuck! Don't even know where to start :(
Thanks for your help!

I will assume you can find the position of the shell at explosion. At that time the velocity is horizontal. Momentum will be conserved. Immediately after explosion one half of the shell will be at rest, then it falls. How fast and in what direction will the other half be moving immediately after the explosion? How does the horizontal distance traveled after explosion compare to the horizontal distance traveled before the explosion?
 
OlderDan said:
I will assume you can find the position of the shell at explosion. At that time the velocity is horizontal. Momentum will be conserved. Immediately after explosion one half of the shell will be at rest, then it falls. How fast and in what direction will the other half be moving immediately after the explosion? How does the horizontal distance traveled after explosion compare to the horizontal distance traveled before the explosion?

wahh! I doubted myself in vain.
 

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