VECTORS TEST REVIEW                NAME____________

1A hiker moves 15 km due east then heads due north for 8 km. What is the direction of the
resultant vector?

2 If the horizontal component of a force is positive, then, by convention, the force acts
	
3 An object’s vectors are in equilibrium when
              
4 The equilibrant force is______ the resultant.

5.The downstream velocity of a river that flows south _______a boat's eastward velocity.
	
6.When adding vectors graphically, the direction and length of each vector must
	
7.Knowing the magnitudes of the hypotenuse of a right triangle and the side opposite angle
  you could compute the ______of angle 
	
8. The effect of the resultant vector is_______the effect of the original vectors.
	
9. Suppose you pull a wagon along a horizontal sidewalk. The force that pulls the wagon 
	forward over the sidewalk is the________ force.

10_____ To resolve a force vector into its components, a set of perpendicular axes is drawn. Then the _____ is drawn to scale at the correct angle.
  UNDERSTANDING THE CONCEPTS(14)

1. Suppose you are driving due north at 15 m/s in a severe thunderstorm. The wind is blowing due east at 30 km/h. How does the wind affect your northward movement?

2. Is a person standing still on a carpeted floor in equilibrium? Explain your answer.

3. Is a plane traveling at a constant velocity in equilibrium? Explain your answer.

4. There are four forces acting on the plane described above. Explain how you would add these vectors graphically.

5. Describe how perpendicular vectors are added.

   

 6. Suppose the hill is frictionless. If a force of 150 N was needed to move the wagon uphill at a constant speed, what force is needed for the wagon to roll downhill at a constant speed

7. What is the relationship between the components of the weight of an object and the angle of an 	inclined plane on which the object rests?	.

VECTOR PROBLEMS-SHOW ALL YOUR WORK, NOT JUST THE ANSWER 
1. A runner jogs 9.0 km due west, turns and jogs 10.0 km south, and then jogs 6.0 km due north at a constant speed. Graphically determine the magnitude and direction of the jogger's total displacement.(3)

2. Trigonometrically determine the magnitude and direction of the velocity of a plane that is flying toward 	180° at 120.0 km/h while the wind blows toward 90° at 55.0 km/h.(4)

3. The force exerted on a rope pulling a wagon is 39.0 N. The rope is 25° above the horizontal. Find the force that pulls the wagon over the ground.(4)

4. A pilot wants to fly a plane at 600.0 km/h, directly north. The wind is blowing at 70.0 km/h from the east. Find the magnitude and direction of the course the pilot should fly.(4)

5. A net force of 165 N acts due east on an object. Find the single force that will produce equilibrium.(2)

6. A crate weighing 623 N is resting on a plank that makes a 24° angle with the ground. Find the 
Components of the crate's weight parallel and perpendicular to the plank.(4)

7. Two people pull on a wagon using two ropes. One rope is exerting a force of 300.0 N at 5° from east. The other is exerting a force of 250.0 N at 120° from east. Assume that friction is negligible. What is the net force acting on the wagon?(4)

8. A child weighing 39.0 kg is on a swing supported by two chains. Another child is pulling the swing 	back so that the chains make a 20° angle with the vertical. What force does each chain exert?(4)

 9. A 35-N force acts on an object at 35°. A second force of 43 N acts at 90°. What is the magnitude and direction of the equilibrant?(4)

10. A student exerts a 60N force along the handle of a snow shovel to push the snow off the sidewalk. Find the horizontal component when the handle is at the following angles(6pts)
A) 33 degrees

B) 48 degrees

C) 58 degrees