A 325 kg boat is sailing 15:0 north of east at a speed of 2:00 m=s.Thirty seconds
later, it is sailing 35:0 north of east at a speed of 4:00 m=s.During this time three
forces act on the boat: a 31.0 N force directed 15:0 north of east(due to an auxiliary
engine), a 23.0 N force directed 15:0 south of west (resistance dueto the water), and
~FW (due to the wind). Find the magnitude and direction of theforce ~FW. Express
the direction as an angle with respect to due east.

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22 Jan 2019

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A 366-kg boat is sailing 17.0 ° north of east at a speed of 2.00 m/s. 27.0 s later, it is sailing 30.0 ° north of east at a speed of 4.40 m/s. During this time, three forces act on the boat: a 33.7-N force directed 17.0 ° north of east (due to an auxiliary engine), a 23.6-N force directed 17.0 ° south of west (resistance due to the water), and (due to the wind). Find the (a) the magnitude and (b) direction of the force . Express the direction as an angle with respect to due east.

I was coping with this task for some time and I don't quitegetit...
After some time, I manage to solve it but my solution didn'tmatchthe solution that came with the task statement so I want toseewhere am I making a mistake. Bon apetit!

A yacht is sailing towards east. There is a wind blowing tothesouth with speed of 10 m/s. Area of sail is 20m² anditmakes 30 degree angle with west-east direction. The density ofairis Ï=1.29 kg/m³, and the force of resistance totheyacht's motion is F_res = cv₀²,where c=30 Ns²/m²,and v₀ is speedof yacht.

a) What is the maximum speed of yacht?
b) What would be maximum speed of yacht if wind blew fromnorth-westto south-east in direction perpendicular to thesails?

You can ignore air resistance on sails, north-south movementofyacht (side movement) and other energy loses.

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