A cannon elevated at some angle ? (unknown) fires a shell with some initial speed v0 (unknown) that has a range R when fired over level ground (see Figure (a)). During a test fire, a shell explodes at the top of the trajectory into two unequal mass fragments. The shell explodes in such a manner that neither fragment experiences a change in momentum in the y direction. However, 28% of the shell (m2) continues onward and the other fragment (m1) falls straight down. Determine the distance D (in terms of R) that the forward moving fragment lands from the cannon (see Figure (b)).
A cannon elevated at some angle ? (unknown) fires a shell with some initial speed v0 (unknown) that has a range R when fired over level ground (see Figure (a)). During a test fire, a shell explodes at the top of the trajectory into two unequal mass fragments. The shell explodes in such a manner that neither fragment experiences a change in momentum in the y direction. However, 28% of the shell (m2) continues onward and the other fragment (m1) falls straight down. Determine the distance D (in terms of R) that the forward moving fragment lands from the cannon (see Figure (b)).
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.25P
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A cannon elevated at some angle ? (unknown) fires a shell with some initial speed v0 (unknown) that has a range R when fired over level ground (see Figure (a)). During a test fire, a shell explodes at the top of the trajectory into two unequal mass fragments. The shell explodes in such a manner that neither fragment experiences a change in momentum in the y direction. However, 28% of the shell (m2) continues onward and the other fragment (m1) falls straight down. Determine the distance D (in terms of R) that the forward moving fragment lands from the cannon (see Figure (b)).
D =
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