A 369-kg boat is sailing 12.0° north of east at a speed of 2.00 m/s. 34.0 s later, it is sailing 33.0° north of east at a speed of 3.80 m/s. During this time, three forces act on the boat: a 30.9-N force directed 12.0° north of east (due to an auxiliary engine), a 23.1-N force directed 12.0° south of west (resistance due to the water), and (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

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter5: Newton's Laws Of Motion
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A 369-kg boat is sailing 12.0° north of east at a speed of 2.00 m/s. 34.0 s later, it is sailing 33.0° north of east at a speed of 3.80 m/s.
During this time, three forces act on the boat: a 30.9-N force directed 12.0° north of east (due to an auxiliary engine), a 23.1-N force
directed 12.0° 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 369-kg boat is sailing 12.0° north of east at a speed of 2.00 m/s. 34.0 s later, it is sailing 33.0° north of east at a speed of 3.80 m/s. During this time, three forces act on the boat: a 30.9-N force directed 12.0° north of east (due to an auxiliary engine), a 23.1-N force directed 12.0° 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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