What is the net applied force acting on the large ship as the result of the two tug boats?

A large ship is being pulled into a bay by two tug boats. One tug boat pulls on the ship with a force of 598N West. The second tug boat pulls on the ship with a force of 557N, 10.5 degrees E of S. What is the net applied force acting on the large ship as the result of the two tug boats?

Update:

I got 739N, 48 degrees S of W. Am I right?

1 Answer

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  • NCS
    Lv 7
    4 weeks ago
    Favorite Answer

    net west x = (598 - 557sin10.5º) N = 496 N

    net south y = 557N*cos10.5º = 548 N

    |R| = √(x² + y²) = 739 N ◄ correct

    Θ = arctan(y/x) = 48º S of W ◄ correct!

    or 42º W of South

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