Question

do this!
directions: identify and draw the force vector in the following scenarios.

1. a falling fruit
2. an accelerating car to the right
3. a picture frame on the wall

Explanation:

🆕 New Concept Discovered: Force Vectors and Free-Body Diagrams
Representing forces as arrows with direction and magnitude

Step 1: Analyze Scenario 1 (A falling fruit)

When a fruit is falling, the primary force acting on it (neglecting air resistance) is gravity.

• Force Identified: Gravitational force (weight), which acts vertically downward toward the center of the Earth.
• Vector Representation: Draw an arrow pointing straight down from the center of the fruit.

$$ \vec{F}_g \text{ (pointing downwards)} $$

Step 2: Analyze Scenario 2 (An accelerating car to the right)

For a car accelerating to the right, we look at the horizontal forces causing this motion, as well as the vertical forces keeping it stable.

• Forces Identified:
• Applied/Thrust Force (or static friction from the road pushing the tires forward): Acts to the right, causing the acceleration.
• Gravity: Acts vertically downward.
• Normal Force: Acts vertically upward from the road, balancing gravity.
• Air Resistance/Friction (optional): Acts to the left (smaller than the forward force).
• Vector Representation:
• A long arrow pointing to the right (\(\vec{F}_{\text{thrust}}\) or \(\vec{F}_{\text{friction, road}}\)).
• A downward arrow (\(\vec{F}_g\)) and an equal-length upward arrow (\(\vec{F}_N\)).

Step 3: Analyze Scenario 3 (A picture frame on the wall)

A picture frame hanging on a wall is at rest (in static equilibrium). This means the upward forces must perfectly balance the downward forces.

• Forces Identified:
• Gravity: Pulls the frame vertically downward.
• Tension (from the hanging wire/string) or Normal/Friction Force (from the nail/hook): Supports the frame by pulling or pushing vertically upward.
• Vector Representation:
• An arrow pointing straight down (\(\vec{F}_g\)).
• An equal-length arrow pointing straight up (\(\vec{F}_T\) or \(\vec{F}_{\text{support}}\)) to show that the forces are balanced and there is no motion.

Answer:

Here are the descriptions of the force vectors you should draw for each scenario:

1. A falling fruit:

• Vector to draw: A single arrow pointing straight down from the fruit, labeled as gravity (\(\vec{F}_g\)).

1. An accelerating car to the right:

• Vector to draw: A dominant arrow pointing to the right (representing the forward force driving the car, \(\vec{F}_{\text{forward}}\)). You can also draw balanced vertical arrows: one pointing straight up (\(\vec{F}_N\)) and one pointing straight down (\(\vec{F}_g\)).

1. A picture frame on the wall:

• Vector to draw: Two equal-length arrows in opposite directions: one pointing straight up (representing the supporting tension or hook force, \(\vec{F}_{\text{support}}\)) and one pointing straight down (representing gravity, \(\vec{F}_g\)).