A rocket of mass mi + m2 is launched with a velocity whose horizontal and vertical components are ux and uy. At the highest point in its path the rocket explodes into two parts of mass mi and m₂ 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: D= 2(m₁ + m₂)K m₁m₂ 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.) NOTE: Draw the schematic diagram of the path of each part.
A rocket of mass mi + m2 is launched with a velocity whose horizontal and vertical components are ux and uy. At the highest point in its path the rocket explodes into two parts of mass mi and m₂ 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: D= 2(m₁ + m₂)K m₁m₂ 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.) NOTE: Draw the schematic diagram of the path of each part.
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A rocket of mass m₁ + m2 is launched with a velocity whose horizontal and vertical components
are ux and uy. At the highest point in its path the rocket explodes into two parts of mass m1 and m2
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:
D
2(m₂ + m₂)K
M₁M₂
9
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.)
NOTE: Draw the schematic diagram of the path of each part.
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