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A boat of mass \(m=200\) kg is moving on the surface of a lake. The boat's engine exerts a force \(\Vect{F_e}\) of \(600\) N towards the East (positive x-direction). The wind exerts a force \(\Vect{F_w}\) of \(200\) N towards the North (positive y-direction). Friction is negligible.
Write the column vectors for the engine force, \(\Vect{F_e}\), and the wind force, \(\Vect{F_w}\).
Calculate the net force vector \(\sum \Vect{F}\) acting on the boat.
Use Newton's Second Law to find the acceleration vector \(\Vect{a}\) of the boat.
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