magnitude N direction ° A 319-kg boat is sailing 15.1 degree north of east at a
ID: 1282804 • Letter: M
Question
magnitude N direction °A 319-kg boat is sailing 15.1 degree north of east at a speed of 2.12 m/s. Thirty seconds later, it is sailing 32.7 degree north of east at a speed of 4.36 m/s. During this time, three forces act on the boat: a 32.4-N force directed 15.1 degree north of east (due to an auxiliary engine), a 22.7-N force directed 15.1 degree south of west (resistance due to the water), and vector FW. Express the direction as an angle with respect to due east. vector FW (due to the wind). Find the magnitude and direction of the force
Explanation / Answer
Vi = 2.04 i + 0.552 j
Vf = 3.66 i + 2.35 j
a = Vf - Vt /t = 0.054 i + 0.059 j
Fnet = m*a = 17.226 i + 28.71 j = (31.28 i + 8.44 j ) +( -21.9 i - 5.9 j ) +(Fw)
Fw = (7.846 i + 26.17 j )
mag = 27.32
driection
= 73.3 degreess noorth of east
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