Question

A 17400 kg sailboat experiences an eastward
force of 23800 N due to tide pushing its hull
while the wind pushes the sails with a force of
73800 N directed toward the northwest (45◦
westward of North or 45◦ northward ofWest).
What is the magnitude of the resultant ac-
celeration of the sailboat?
Answer in units of m/s2

Answer 1

so this you want to draw out to make it easier to see and we will view the sail boat from the top so it is easier to see in a coordinate plane

Answer 2

here you have two vectors so you need to do vector addition so find the x and y components of the wind and add that to the force of the tide

Answer 3

well the x force of the tide because the y force of the tide is zero

Answer 4

then after you add the components of the two vectors you find the magnitude

Answer 5

and with that magniude force you use f=ma

Answer 6

solve for a

Answer 7

You add 23800 and 73800 to get the magnitude of the forces? or do you have to use some sort of other equation like sin

Answer 8

you have to use an equation like sin because the wind's direction is not along a specific axis so it has a negative eastward and northward component and you have to find those two components and add that to the eastward component and northward component of the tide

Answer 9

Am I trying to solve for A or B and subtract that from the other force on the x axis?