A2000-kg sailboat experiences an eastward force of 2000 n by the ocean tide and a wind force against its sails with magnitude of 6000 n directed toward the northwest (45° n of w). what is the magnitude of the resultant acceleration?

The force exerted by the ocean tide is directed to the right (east).

The force exerted by the wind is directed to the northwest (45° N of W).

We should separate the x- and y- components of the wind force, and evaluate each component separately.

We denote the direction to the right as the positive direction, so the x-component of the wind force is in the negative direction.

The resultant force is as follows:

The resultant acceleration can be found by Newton's Second Law:

The magnitude of the resultant acceleration is

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2