pit.edures 09/09-013 problem 1307611 : * Le Willson (Student section: 1 2181-PHY

Question

pit.edures 09/09-013 problem 1307611 : * Le Willson (Student section: 1 2181-PHYS 0174 Basic Physics for Science and Engineering, CRN 11436 2 Hessages Courses Help Logout Course Contents » » HVV6 , Mid flight explosion Explosion A shell is shot with an initial velocity vo of 30 my/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 ale drag is ble? 180 77m Submit Arnswer Send Feedb Post Discussion Type here to search DOLL

Explanation / Answer

vox = 30*cos 60 degree =15 m/s

voy = 30*sin 60 degree = 26 m/s

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

v = vo - gt

t = voy/g

= 26/g

when the bullet splits, from conservation of momentum:

m*v = 0.5m*u

2v = u

so the new vertical speed is u = 30m/s.

the time it takes the bullet to land is the same time it took it to rise.
so..

t*vox + t*2*vox

= 3*tvox

= 3*26/9.8*15

= 119.38 m answer

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