Calculating Tension in Two Ropes

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To calculate the tension in two ropes supporting a 250 kg weight at angles of 30 and 60 degrees, users noted discrepancies between their calculations and the answer sheet, which lists tensions of 1420 N and 2470 N. It was suggested that the answer sheet might have used approximations, such as g = 10 m/s², affecting the results. Participants confirmed that the method used for calculations was correct, indicating that the issue likely lies in the assumptions made in the answer sheet. The discussion emphasizes the importance of consistent gravitational values in physics problems. Accurate tension calculations are crucial for understanding forces in static equilibrium scenarios.
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Homework Statement



A 2.50X102Kg weight is suspended from two ropes that are angled at 30.0degrees and 60.0 degrees above horizontal. What is the tension in the two ropes?

The work i did is in the attachements .. The answer sheet says the answer of the two forces is 1420 N and 2470 N i can't seem to match those answers =( please tell me where i went wrong
 

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In this question you have got a lot of calculations. Maybe the answer sheet has shown answers with g = 10 and some other approximations. Also the answers like 1420 N and 2470 N suggests this . Your method is correct.:approve:
 
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