WileyPLUS B Other Bookmarks Halliday, Fundamentals of Physics, 10e PHYSICS FOR S

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WileyPLUS B Other Bookmarks Halliday, Fundamentals of Physics, 10e PHYSICS FOR SCIENCE AND ENGINEERING (PHYS 2110/2120) Assignment ORION FULL SCREEN PRINTER VERSION BACK NDT Chapter 09, Problem 013 A shell is shot with an initial velocity vo of 25 m/s, at an angle of eo 62° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (see the land, assuming that the gure). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment terrain is level and that alr drag is negligible? Explnion Units +/-296 click if you would like to show work for this question: Open Show work By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. Question Attempts: 0 of 5 used SAVE FOR LATER SUBMIT ANSWER version 4.22.1.2 licy I 2000-2017 lohn Wiley s sons, Inc. All Rights Reserved. A Division of yohn wiley s sons Inca

Explanation / Answer

here,

initial speed , v0 = 25 m/s

v0x = v0 * cos(theta) = 11.7 m/s

theta = 62 degree

the time of flight , t = 2 * (v0 * sin(theta)) /g

t = 2 * ( 25 * sin(62)) /9.8

t = 4.5 s

after the exposion,

let the speed of fragment be vx

m * v0x = (m/2 * 0 + m/2 * vx )

vx = 2 *11.7 = 23.47 m/s

the horizontal range , R = v0x * t/2 + vx * t/2

R = 11.7 * 4.5/2 + 23.47 * 4.5/2

R = 79 m

the horizontal distance travelled is 79 m

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