The forces acting on a sailboat are 390n north and 180n east. if the boat (including crew) has a mass of 270 kg, what are the magnitude direction of the boat's acceleration

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Physics

Bailey Bernard

14 December, 08:15

The forces acting on a sailboat are 390n north and 180n east. if the boat (including crew) has a mass of 270 kg, what are the magnitude direction of the boat's acceleration

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Abdullah Drake · Answer 1

F=ma so a=F/m

ax=180/270=0.67m/s^2

ay=390/270=1.44m/s^2

Magnitude = sqrt ((0.67^2) + (1.44^2)) = 1.59m/s^2

Direction - Tan (x) = 0.67/1.44=0.47 Tan^-1 (x) = 25 degrees