. 1 1 pdf xGA324 kg Projectile x VGA 315- problem, setm par K x G rotation with

Question

. 1 1 pdf xGA324 kg Projectile x VGA 315- problem, setm par K x G rotation with const- K Rotatinal Motors sMobus and Info- x shcza)98sn&dba;/AAAhizMw1apgBRwnYU1MwsDa/Problem,sets dl-0previe problens set 1 PHYS 2425 Problem Set #11 1. A shell is shot with an initial velocity vo of 20 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 Fig). 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? Explosion t,

Explanation / Answer

v0x=20*cos60=10 m/s
v0y=20*sin60=17.3 m/s

how long does it take the bullet to reach max height?

At maximum height v=0 m/s
v=v0-gt
v0/g=t
t=17.3/g

when the bullet splits, from conservation of momentum:
m*v=0.5m*u
2v=u
so the new vertical speed is u=20m/s.

the time it takes the bullet to land is the same time it took it to rise.
so..
t*v0x+t*2v0x=3tv0x=3*(17.3/g)*10=53m

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