A 377-kg boat is sailing 17.0° north of east at a speed of 1.60 m/s. 39.0 s later, it is sailing 39.0° north of east at a speed of 4.00 m/s. During this time, three forces act on the boat: a 30.7-N force directed 17.0° north of east (due to an auxiliary engine), a 22.8-N force directed 17.0° 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

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A 377-kg boat is sailing 17.0° north of east at a speed of 1.60 m/s. 39.0 s later, it is sailing 39.0° north of east at a speed of 4.00 m/s.
During this time, three forces act on the boat: a 30.7-N force directed 17.0° north of east (due to an auxiliary engine), a 22.8-N force
directed 17.0° 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
Transcribed Image Text:A 377-kg boat is sailing 17.0° north of east at a speed of 1.60 m/s. 39.0 s later, it is sailing 39.0° north of east at a speed of 4.00 m/s. During this time, three forces act on the boat: a 30.7-N force directed 17.0° north of east (due to an auxiliary engine), a 22.8-N force directed 17.0° 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
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