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?
1. a = F/m
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?