Calculating the Minimum Velocity of a Pygmy Blowgun Dart

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SUMMARY

The discussion focuses on calculating the minimum velocity required for a pygmy blowgun dart, weighing 15 grams, to pierce a monkey's skin from a height of 35 meters. The dart must achieve a minimum velocity of 4 m/s upon leaving the blowgun, which is aimed at an angle of 85 degrees relative to the horizontal. Participants emphasize the importance of understanding the relationship between kinetic energy (KE) and potential energy (PE) to solve the problem effectively.

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LezardValeth
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Pygmies use blow-guns and 15 gram (0.015 kg) darts dipped in the poison curare to immobilize and kill monkeys that live in the tree-top canopy of their forest home. Assume a pygmy at ground level blows a dark at 85 degrees (relative to the horizontal) at a monkey that is 35 vertical meters up. Assuming a dart must be moving at 4m/s to effectively pierce a monkey skin, what is the minimum velocity the dart must be moving as it leaves the blow-gun if it is to pierce the monkey?

now I know that Ill have to use delta KE to find the minimum velocity but I am not quite sure what to do with the vertical height and the degrees
 
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I moved this post to a new thread ; don't hijack threads of other posters for your own homework problems ; start a new thread.

Also, provide some work on it before we help...
 
In problems like this, what can you say about the relationship between KE and PE?
 

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