Multiple Choice
5.1 Vector Addition and Subtraction: Graphical Methods
True or Falseâ€”We can use Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other.
 True
 False
True or Falseâ€”The direction of the resultant vector depends on both the magnitude and direction of added vectors.
 True
 False

130\,\text{m/s} north

130\,\text{m/s} south

270\,\text{m/s} north

270\,\text{m/s} south

200\,\text{m} east

200\,\text{m} south

260\,\text{m} east

260\,\text{m} south
5.2 Vector Addition and Subtraction: Analytical Methods

0^\circ\! \lt \theta \lt 45^\circ

\theta = 45^\circ

45^\circ\! \lt \theta \lt 60^\circ

60^\circ\! \lt \theta \lt 90^\circ

R_x + R_y = 0

A_x + A_y = \overrightarrow{\text{A}}

A_x + B_y = B_x + A_y

A_x + B_x = R_x
What is the dimensionality of vectors used in the study of atmospheric sciences?
 Onedimensional
 Twodimensional
 Threedimensional
5.3 Projectile Motion
After a projectile is launched in the air, in which direction does it experience constant, nonzero acceleration, ignoring air resistance?
 The x direction
 The y direction
 Both the x and y directions
 Neither direction

v_y = 0

v_y = \text{maximum}

v_x = \text{maximum}
A ball is thrown in the air at an angle of 40Â°. If the maximum height it reaches is 10 m, what must be its initial speed?
 17.46 m/s
 21.78 m/s
 304.92 m/s
 474.37 m/s

84.90\,\text{m}

96.59\,\text{m}

169.80\,\text{m}

193.20\,\text{m}
5.4 Inclined Planes
For objects of identical masses but made of different materials, which of the following experiences the most static friction?
 Shoes on ice
 Metal on wood
 Teflon on steel
If an object sits on an inclined plane and no other object makes contact with the object, what is typically equal in magnitude to the component of the weight perpendicular to the plane?
 The normal force
 The total weight
 The parallel force of weight
A 5 kg box is at rest on the floor. The coefficient of static friction between the box and the floor is 0.4. A horizontal force of 50 N is applied to the box. Will it move?
 No, because the applied force is less than the maximum limiting static friction.
 No, because the applied force is more than the maximum limiting static friction.
 Yes, because the applied force is less than the maximum limiting static friction.
 Yes, because the applied force is more than the maximum limiting static friction.
A skier with a mass of 67 kg is skiing down a snowy slope with an incline of 37Â°. Find the friction if the coefficient of kinetic friction is 0.07.
 27.66 N
 34.70 N
 36.71 N
 45.96 N
5.5 Simple Harmonic Motion
A change in which of the following is an example of deformation?
 Velocity
 Length
 Mass
 Weight
The units of amplitude are the same as those for which of the following measurements?
 Speed
 Displacement
 Acceleration
 Force

15^\circ

45^\circ

75^\circ

90^\circ

Oscillation will not happen in the absence of friction.

Oscillation will continue forever in the absence of friction.

Oscillation will have changing amplitude in the absence of friction.

Oscillation will cease after a certain amount of time in the absence of friction.

0.03\,\text{kg}

1.60\,\text{kg}

30.7\,\text{kg}

63.0\,\text{kg}