### Short Answer

## 5.1 Vector Addition and Subtraction: Graphical Methods

Consider six vectors of 2 cm each, joined from head to tail making a hexagon. What would be the magnitude of the addition of these vectors?

- Zero
- Six
- Eight
- Twelve

Two people pull on ropes tied to a trolley, each applying 44 N of force. The angle the ropes form with each other is 39.5°. What is the magnitude of the net force exerted on the trolley?

- 0.0 N
- 79.6 N
- 82.8 N
- 88.0 N

## 5.2 Vector Addition and Subtraction: Analytical Methods

True or False—A vector can form the shape of a right angle triangle with its x and y components.

- True
- False

True or False—All vectors have positive x and y components.

- True
- False

When a three dimensional vector is used in the study of atmospheric sciences, what is z?

- Altitude
- Heat
- Temperature
- Wind speed

Which method is not an application of vector calculus?

- To find the rate of change in atmospheric temperature
- To study changes in wind speed and direction
- To predict changes in atmospheric pressure
- To measure changes in average rainfall

## 5.3 Projectile Motion

In the equation for the maximum height of a projectile, what does ${v}_{0y}$ stand for? $$h=\frac{{v}_{0y}{}^{2}}{2g}$$

- Initial velocity in the x direction
- Initial velocity in the y direction
- Final velocity in the x direction
- Final velocity in the y direction

True or False—Range is defined as the maximum vertical distance travelled by a projectile.

- True
- False

## 5.5 Simple Harmonic Motion

What is the term used for changes in shape due to the application of force?

- Amplitude
- Deformation
- Displacement
- Restoring force

What is the restoring force?

- The normal force on the surface of an object
- The weight of a mass attached to an object
- Force which is applied to deform an object from its original shape
- Force which brings an object back to its equilibrium position

For a given oscillator, what are the factors that affect its period and frequency?

- Mass only
- Force constant only
- Applied force and mass
- Mass and force constant

For an object in simple harmonic motion, when does the maximum speed occur?

- At the extreme positions
- At the equilibrium position
- At the moment when the applied force is removed
- Midway between the extreme and equilibrium positions

What is the equilibrium position of a pendulum?

- When the tension in the string is zero
- When the pendulum is hanging straight down
- When the tension in the string is maximum
- When the weight of the mass attached is minimum

If a pendulum is displaced by an angle *θ*, what is the net restoring force it experiences?

*mg*sin*θ**mg*cos*θ*- –
*mg*sin*θ* - –
*mg*cos*θ*