Calculating Boat's Speed After Package Throw

AI Thread Summary
To calculate the boat's speed after the child throws a package, the conservation of momentum equation is applied. Initially, both the boat and the package are at rest, leading to a total initial momentum of zero. After the throw, the momentum of the package (3.4 kg at 10 m/s) is balanced by the combined momentum of the boat and the child (80 kg) moving at an unknown speed. The resulting calculation yields a speed of approximately -0.425 m/s for the boat, indicating it moves in the opposite direction of the throw. This solution confirms understanding of momentum conservation principles.
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Homework Statement



A child throws, at 10 m/s, a 3.4 KG package, horizontally, from a boat. The boat weighs 60 kg and the child weights 20 kg. If the boat was initially at rest, what was it's speed, after the throw?


Homework Equations



mv+mv=mv+mv

The Attempt at a Solution



I am not sure, do you have to add in the boat and child weight together so it is

mv+mv=mv+mv
0+0=(3.4)(10)+(20+60)v
v=-.425
 
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That's correct.
 
yay! thank you! this is the first time all year i know what i am doing
 
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