Two Gun
Shell fired from gun, splits into two fragments. What is horizontal speed of frag. that keeps moving?
A 44.0-kg shell is fired from a gun with a muzzle velocity 135.0 m/s at 68.0o above the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. What is the horizontal speed of the other fragment?
vx0 = 135cos(68 deg) m/s
From conservation of momentum, Δv2 = -Δv1 = +vx0, so v2 = 2vx0.
This fragment has twice the KE the whole shell had just before the explosion; the explosion supplied the extra KE.
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