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

Explanation:

It is given that,

Force acting due north direction,

Force acting due east direction,

Mass of the boat, m = 270 kg

Let F is the magnitude of force acting on the sailboat. The resultant force acting on the sailboat is given by :

F = 429.53 N

Since, F = ma

Let is the direction of the boat's acceleration. It is given by :

Hence, this is the required solution.