Laws of Motion-magnitude/accel-Gerry has mass issues

[a.k]

Homework Statement

The wind exerts a force of 420 N toward the south on the sails of Gerry’s sailboat, while the water exerts a force on the sailboat of 160 N west.The boat and Gerry have a combined mass of 320 kg, what are the magnitude and direction of the sailboat’s acceleration?

Homework Equations

f= sqrt(Force 1^2+Force 2^2)

The Attempt at a Solution

I need to find the total force of the boat.

F=sqrt((420)^2+(160)^2))

F=sqrt(202000)

F=449.44 N

I would appreciate some guidance.

 

[wakefield]

Since you found the magnitude of the net force on the boat, to get the magnitude of the acceleration now you can apply Newton's second law, F=ma.

To find the direction of the force and the acceleration try drawing the resultant vector of the two force vectors.