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A large object is to be pulled along using two ropes that are attached at the same point. The angle between the two ropes is 30°. The force exerted in one rope is 500N and in the other 600N. Calculate the resultant force acting on the object.
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Answer:

1062.8 N      

Explanation:

For simplicity, put the 600 N force on the x-axis

   and the 500 N force 30 degrees from it

Horizontal force = 600 + 500 cos 30 = 1033N

Vertical force = 500 sin30 = 250 N

Resultant force (using Pythag theorem) =sqrt (1033^2 + 250^2) =1062.8 N  

   angle = arctan (250/1033) = 13.6 °  above the x-axis