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A shell is shot with an initial velocity of 20 m/s, at an

Chapter , Problem 13

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QUESTION:

A shell is shot with an initial velocity of 20 m/s, at an angle of with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (Fig. 9-42). 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?

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QUESTION:

A shell is shot with an initial velocity of 20 m/s, at an angle of with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (Fig. 9-42). 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?

ANSWER:

Step 1 of 4

Firstly, we will find the coordinates of the point from where the shell explosion occurs, and then we will evaluate the velocity of the fragments which does not follow a straight path while falling.

The origin is at the firing point. Also, the coordinate axes are the +X axis and the +Y axis.

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