Few problems I've tried but still had issues on

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The discussion revolves around two physics problems involving momentum and tension. The first problem calculates the velocity of a bird after swallowing a bug using conservation of momentum, where the user incorrectly derives the final velocity as 7.83 m/s. The second problem involves determining the maximum distance a 150 lb man can walk on a 10-foot beam without exceeding a cable tension of 300 lbs. The user acknowledges that the second problem is more appropriate for a homework forum.

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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?