A \( 4.0 \mathrm{~kg} \) mess kit sliding on a frictionless surface explodes into two \( 2.0 \ma...

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A \( 4.0 \mathrm{~kg} \) mess kit sliding on a frictionless surface explodes into two \( 2.0 \mathrm{~kg} \) parts: \( 3.0 \mathrm{~m} / \mathrm{s} \), due north, and \( 6.0 \mathrm{~m} / \mathrm{s}, 30^{\circ} \) north of east. What is the original speed of the mess kit?
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