Just as it has reached an upward speed of 5.00 m/s during a vertical launch, a r

Question

Just as it has reached an upward speed of 5.00 m/s during a vertical launch, a rocket explodes into two pieces. Photographs of the explosion reveal that the lower piece, with a mass one-fourth that of the upper piece, was moving downward at 3.00 m/s the instant after the explosion. {Part 1: Find the speed of the upper piece just after the explosion.} {Part2: How high does the upper piece go above the point where the explosion occurred?}

Explanation / Answer

Mometum conservation: (m+4m)v = 4m*v1 + m*v2 => 5m*5 = 4m v1 + m(-3.00) => v1 =7 m/s Energy conservation: (1/2)4m.v1^2 = 4m g h => h = v1^2/(2g) = 2.5 m

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