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

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SUMMARY

The discussion focuses on calculating the acceleration of Gerry's sailboat under the influence of two forces: 420 N south from the wind and 160 N west from the water. The combined mass of the boat and Gerry is 320 kg. The net force is calculated using the formula F = sqrt(Force 1^2 + Force 2^2), resulting in a total force of 449.44 N. To find the acceleration, Newton's second law (F = ma) is applied, and the direction of the resultant vector is determined by drawing the vector diagram.

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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.
 
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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.
 

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