Question

In: Physics

The accelerating force of the wind on a small 300-kg sailboat is 780 N northeast. If...

The accelerating force of the wind on a small 300-kg sailboat is 780 N northeast. If the drag of the keel is 552 N acting west, what is the acceleration of the boat?

A. 4.4 m/s2 due east

B. 1.8 m/s2 due north

C. 2.6 m/s2 northeast

D. 3.2 m/s2 north by northwest

E. 0.23 m/s2 due east

Solutions

Expert Solution

The force of wind in vector notation can be written as

                                      

The drag of the keel is

                                       

So, net force on the boat is

                                        

So, magnitude of net force on the boat is

                                     

And the direction of the force can be calculated as

                                     

that is along the north direction.

Therefore, acceleration of the boat is

                                       along the north.

Answer: B

genius_generous answered 8 months ago
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