(1) A sailboat is sailing at a bearing of 35° North of East, while the wind is exerting a force of 750 Newtons to the North on the sails. How much work does the wind do while the sailboat travels 4 kilometers? Hint: draw the vectors and note that Ois the angle between the vectors when you put their tails together.

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Chapter8: Potential Energy And Conservation Of Energy
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Problem 81AP: Repeat the preceding problem, but this time, suppose that the work done by air resistance cannot be...
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(1) A sailboat is sailing at a bearing of 35° North of East, while the wind is exerting a force of 750 Newtons to the North
on the sails. How much work does the wind do while the sailboat travels 4 kilometers? Hint: draw the vectors and
note that Ois the angle between the vectors when you put their tails together.
For three dimensional vectors Ä = A,î + Ayj + A,k and B = B,î + Byj + B,k , the scalar product written in terms of
components will be A ·B = A,Bx + AyBy + A,Bz. This gives us two ways to calculate the scalar product (i) using the
magnitude of the vectors and the angle between the vectors and (ii) using the components of the vectors. We choose
whichever method is easier for the particular problem.
Transcribed Image Text:(1) A sailboat is sailing at a bearing of 35° North of East, while the wind is exerting a force of 750 Newtons to the North on the sails. How much work does the wind do while the sailboat travels 4 kilometers? Hint: draw the vectors and note that Ois the angle between the vectors when you put their tails together. For three dimensional vectors Ä = A,î + Ayj + A,k and B = B,î + Byj + B,k , the scalar product written in terms of components will be A ·B = A,Bx + AyBy + A,Bz. This gives us two ways to calculate the scalar product (i) using the magnitude of the vectors and the angle between the vectors and (ii) using the components of the vectors. We choose whichever method is easier for the particular problem.
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