A rocket of mass m, + m, is launched with a velocity whose horizontal and vertical and uy. At the highest point in its path the rocket explodes into components are u, two parts of mass m, and m, that separate in a horizontal direction in the original plane of motion. Show that the fragments strike the ground at a distance apart given by |2(m, + m,)К D = (1) m,m2 where K is the kinetic energy produced by the explosion. (Neglect air resistance, the mass of the explosive, any spinning motion of the fragments, and assume g is constant.)
A rocket of mass m, + m, is launched with a velocity whose horizontal and vertical and uy. At the highest point in its path the rocket explodes into components are u, two parts of mass m, and m, that separate in a horizontal direction in the original plane of motion. Show that the fragments strike the ground at a distance apart given by |2(m, + m,)К D = (1) m,m2 where K is the kinetic energy produced by the explosion. (Neglect air resistance, the mass of the explosive, any spinning motion of the fragments, and assume g is constant.)
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Transcribed Image Text:A rocket of mass m, + m, is launched with a velocity whose horizontal and vertical
components are u, and u,. At the highest point in its path the rocket explodes into
two parts of mass m, and m, that separate in a horizontal direction in the original
plane of motion. Show that the fragments strike the ground at a distance apart given
by
/2(т, + m,)К
D =
(1)
m,m2
where K is the kinetic energy produced by the explosion. (Neglect air resistance, the
mass of the explosive, any spinning motion of the fragments, and assume g is constant.)
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