A shell is fired from a gun with a muzzle velocity of 32 m/s, at an angle of 60° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). 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 the air drag is negligible? **Projectile Motion with Explosion**In the diagram, a projectile is launched with an initial velocity \( v_0 \) at an angle of 60° from the horizontal. The trajectory is shown as a parabolic curve. **Explosion Detail:**- At the peak of its path, the projectile undergoes an explosion. This results in two distinct fragments.- One fragment moves downward, depicted by a vertical arrow.- The other fragment continues along the original trajectory, albeit at a modified path, indicated by a different arrow direction and a small explosion symbol.**Understanding the Concept:**The diagram illustrates a common physics problem involving the principles of projectile motion and momentum conservation. The explosion shows the transformation where momentum is conserved in the absence of external forces, altering the path of the projectile parts post-explosion.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A shell is fired from a gun with a muzzle velocity of 32 m/s, at an angle of 60° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the figure). 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 the air drag is negligible?

**Projectile Motion with Explosion**

In the diagram, a projectile is launched with an initial velocity \( v_0 \) at an angle of 60° from the horizontal. The trajectory is shown as a parabolic curve.

**Explosion Detail:**
- At the peak of its path, the projectile undergoes an explosion. This results in two distinct fragments.
- One fragment moves downward, depicted by a vertical arrow.
- The other fragment continues along the original trajectory, albeit at a modified path, indicated by a different arrow direction and a small explosion symbol.

**Understanding the Concept:**
The diagram illustrates a common physics problem involving the principles of projectile motion and momentum conservation. The explosion shows the transformation where momentum is conserved in the absence of external forces, altering the path of the projectile parts post-explosion.

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