A 302-kg boat is sailing 19.0° north of east at a speed of 1.60 m/s. 36.0 s later, it is sailing 30.0° north of east at a speed of 4.50 m/s. During this time, three forces act on the boat: a 32.5-N force directed 19.0° north of east (due to an auxiliary engine), a 23.2-N force directed 19.0° south of west (resistance due to the water), and F (due to the wind). Find the (a) the magnitude and (b) direction of the force F. Express the direction as an angle with respect to due east. (a) Number i (b) Number i Units Units

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A 302-kg boat is sailing 19.0° north of east at a speed of 1.60 m/s. 36.0 s later, it is sailing 30.0° north of east at a speed
of 4.50 m/s. During this time, three forces act on the boat: a 32.5-N force directed 19.0° north of east (due to an auxiliary engine),
a 23.2-N force directed 19.0° south of west (resistance due to the water), and F (due to the wind). Find the (a) the magnitude and
(b) direction of the force Express the direction as an angle with respect to due east.
(a) Number i
(b) Number
i
Units
Units
Transcribed Image Text:A 302-kg boat is sailing 19.0° north of east at a speed of 1.60 m/s. 36.0 s later, it is sailing 30.0° north of east at a speed of 4.50 m/s. During this time, three forces act on the boat: a 32.5-N force directed 19.0° north of east (due to an auxiliary engine), a 23.2-N force directed 19.0° south of west (resistance due to the water), and F (due to the wind). Find the (a) the magnitude and (b) direction of the force Express the direction as an angle with respect to due east. (a) Number i (b) Number i Units Units
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