Question

a 200kg sailboat experiences an eastward force of 3000N by the ocean tide and a wind force against its sails with magnitude of 6000N directed toward the northwest (45 degrees north of west). what is the magnitude of the resultant acceleration?

Answer 1

a^2 = b^2 + c^2
a^2 = (3000)^2 + (6000)^2 - 2(3000)(6000)

a^2 = 45000000 - 36000000
a = 4420.877N

F = ma 4420.877N / 2000kg = 2.2m/s^2
a = F/m

Answer 2

a^2 = (3000)^2 + (6000)^2 - 2(3000)(6000)sin(45)