A 377-kg boat is sailing 17.0° north of east at a speed of 1.90 m/s. 25.0 s later, it is sailing 40.0° north of east at a speed of 4.30 m/s. During this time, three forces act on the boat: a 32.7-N force directed 17.0° north of east (due to an auxiliary engine), a 22.7-N force directed 17.0° south of west (resistance due to the water), and (due to the wind). Find the (a) the magnitude and (b) direction of the force Express the direction as an angle with respect to due east. (a) Number (b) Number Units Units

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A 377-kg boat is sailing 17.0° north of east at a speed of 1.90 m/s. 25.0 s later, it is sailing 40.0° north of east at a speed of 4.30 m/s.
During this time, three forces act on the boat: a 32.7-N force directed 17.0° north of east (due to an auxiliary engine), a 22.7-N force
directed 17.0° south of west (resistance due to the water), and , (due to the wind). Find the (a) the magnitude and (b) direction of the
force Express the direction as an angle with respect to due east.
(a) Number
(b) Number
Units
Units
Transcribed Image Text:A 377-kg boat is sailing 17.0° north of east at a speed of 1.90 m/s. 25.0 s later, it is sailing 40.0° north of east at a speed of 4.30 m/s. During this time, three forces act on the boat: a 32.7-N force directed 17.0° north of east (due to an auxiliary engine), a 22.7-N force directed 17.0° south of west (resistance due to the water), and , (due to the wind). Find the (a) the magnitude and (b) direction of the force Express the direction as an angle with respect to due east. (a) Number (b) Number Units Units
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