Chapter 6 Review – Make sure you’re in DEGREE Mode.

1.        You walk 30.0 m south and 30.0 m west.  What is the magnitude and direction of the resulting vector?    

2.        A plane flying north at 100.0 m/s encounters a wind blowing 50.0 m/s west.  What is the resultant vector of the plane?

3.        Wendy pushes a 10.0 kg lawn spreader across a lawn by applying a force of 95.0 N along the handles that makes an angle of 60.0° below the horizontal.  The coefficient of friction is 0.200.

a)  Draw a free body diagram representing the situation. Be sure all forces are represented and labeled.        

b) What are the magnitudes of the components of Wendy’s force vector?

        c)  What is the normal force of the ground on the lawn spreader?

        d)  What is the acceleration of the lawn spreader?

4.        Ben and Carl kick a soccer ball simultaneously.  Ben kicks it with 80.0 N at 135.0° and Carl kicks it with 110.0 N at 145.0°.  What is the resultant force on the ball?

5.        Three parents, Mrs. Cook, Mr. Durkee, and Mr. DeHorn, are pulling on the same toy their kids want for Christmas, but the toy remains in equilibrium.  Mrs. Cook pulls with 27.0 N at 345.0° and Mr. DeHorn pulls with a force of 60.0 N at 110.0°.  With what force and in which direction is Mr. Durkee pulling on the toy?

6.        Two biologists carry a 50.0-kg bucket of dirt by suspending it in equilibrium from the center of a rope.

a)  If the angle between the two sections of the rope is 140.0°, what is the tension in each section of the rope?

b)  If the tension in each section of the rope is 400.N, what is the angle between the sections?

7.        A 40.0-kg student skies down a 50.0° slope with a coefficient of friction of 0.160.  What is the acceleration of the student?

8.        A 25.0-kg box is pushed up a 20.0° hill with a coefficient of friction of 0.400.  If the crate is pushed with a constant velocity, what applied force is used?

9.        An 100.0-kg dresser is pushed up a 35.0° ramp with an applied force of 1000. N.  The coefficient of friction is 0.250.  What is the acceleration of the dresser?

1.  42.4 m @ 225.0°;  2.  112 m/s @ 116.6°;  3. a) see Mr. Gunnink’s paper, b) Fx = 47.5 N, Fy = 82.3 N,            c) 180. N, d) 1.14 m/s2;  4.  189 N @ 140.8°;  5.  49.7 N @ 263.5°;   6.  a) 716 N, b) 104.4°;  7.  6.50 m/s2;        8.  176 N;  9.  2.37 m/s2