Few problems I've tried but still had issues on

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The discussion revolves around two physics problems involving conservation of momentum and tension in a beam. In the first problem, a 300g bird and a 10g bug are analyzed for their combined velocity after the bird swallows the bug, with the initial calculations leading to an incorrect result of 7.83 m/s. The second problem involves determining how far a 150lb man can walk on a 10-foot beam without exceeding a cable tension of 300lbs, with a suggestion that this question is more appropriate for a homework forum. Participants are encouraged to identify errors in the calculations and provide guidance on both problems. The thread highlights common challenges in applying physics concepts to real-world scenarios.
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#1 : A 300g bird is gliding through the air toward the east at 8m/s. A 10gram bug is buzzing along toward the west at 5ms direction toward the bird. The bird opens his mouth and swallows the bug. What is the velocity of the bird immediately after swallowing the bug?


Using conservation of momentum this is what I did.

300g * 8m/s = 2400
10g * 5m/s = 50

2400-50 = 300 * x

x=7.83m/s

However I'm aware that I'm wrong would love if someone could show me where I went wrong.

#2: A 10 foot beam has a mass of 200lbs. The cable at the end of the beam makes an angle of 40degrees with the horizontal. What distance x from the left end of the beam can a 150lb man walk out onto the beam if the tension in the cable is not to exceed 300lbs.
 
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The bird has put on weight.

You realize this should have been posted in the homework forum?
 

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