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## Homework Statement

1. A sailboat with a mass of 2.0 x 10^3 kg experiences a tidal force of 3.0 x 10^3 N directed to the east and a wind force against its sails with a magnitude of 6.0 x 10^3 N directed toward the northwest (45 degrees N of W). What is the magnitude of the resultant acceleration of the boat?

A. 2.2 m/s^2

B. 2.1 m/s^2

C. 1.5 m/s^2

D. 4.4 m/s^2

2. An Olympic skier moving at 20.0 m/s down a 30.0 degree slope encounters a region of wet snow and slides 145 m before coming to a halt. What is the coefficient of friction between the skis and the snow?

A. 0.540

B. 0.740

C. 0.116

D. 0.470

## Homework Equations

1. a = F/m

2. ???

## The Attempt at a Solution

1. I drew a triangle with the 3000N and the 6000N, and found the other value by the Pythagorean Theorem to be 5196.15.

Then I found cos 45 = 0.707, and multiplied that by 5196.15 to get the force to be 3673.23.

I plugged that value in F=ma, and divided it by the mass of 2000 kg, and got 1.8.

What have I done wrong?

2. I've never encountered using distance with force. Should I find time, which would be 2900 seconds?