Question

use the diagram to fill in the blanks with the correct terms or phrases.
the measurement 500 n is select a force. the size of
the force labeled $f_{grav}$ is select , and the direction of
$f_{grav}$ is select .
$f_{norm}$ has the same select as $f_{grav}$ and acts in the
select direction.

Explanation:

To solve this, we analyze the force diagram and concepts of balanced forces (Newton's laws, especially equilibrium for vertical and horizontal forces):

1. First Blank: "The measurement 500 N is [Select] a force."

Force is a vector with magnitude (size) and direction. 500 N is the magnitude of the applied force (\( F_{\text{app}} \)) or friction (\( F_{\text{fric}} \)). So the term here is related to "the magnitude of".

2. Second Blank: "The size of the force labeled \( F_{\text{grav}} \) is [Select]."

In the vertical direction, \( F_{\text{norm}} \) (normal force) and \( F_{\text{grav}} \) (gravity) are balanced (since the box isn’t accelerating vertically). The box’s weight is labeled as 1000 N (from the diagram: the box has "1000 N" on it, so \( F_{\text{grav}} = 1000 \, \text{N} \)).

3. Third Blank: "The direction of \( F_{\text{grav}} \) is [Select]."

Gravitational force (\( F_{\text{grav}} \)) acts downward (toward the Earth’s center).

4. Fourth Blank: " \( F_{\text{norm}} \) has the same [Select] as \( F_{\text{grav}} \)..."

\( F_{\text{norm}} \) (normal force) and \( F_{\text{grav}} \) (gravity) are balanced, so they have the same magnitude (size).

5. Fifth Blank: "...and acts in the [Select] direction."

\( F_{\text{norm}} \) acts upward (opposite to \( F_{\text{grav}} \), which is downward) to balance it. So it acts in the opposite direction to \( F_{\text{grav}} \).

Final Answers (assuming standard force - diagram terminology):

1. The measurement 500 N is \(\boldsymbol{\text{the magnitude of}}\) a force.
2. The size of \( F_{\text{grav}} \) is \(\boldsymbol{1000 \, \text{N}}\).
3. The direction of \( F_{\text{grav}} \) is \(\boldsymbol{\text{downward}}\).
4. \( F_{\text{norm}} \) has the same \(\boldsymbol{\text{magnitude}}\) as \( F_{\text{grav}} \).
5. \( F_{\text{norm}} \) acts in the \(\boldsymbol{\text{opposite}}\) direction.

(Note: If the "Select" options include these phrases, these are the correct choices based on force equilibrium and vector properties.)

Answer:

To solve this, we analyze the force diagram and concepts of balanced forces (Newton's laws, especially equilibrium for vertical and horizontal forces):

1. First Blank: "The measurement 500 N is [Select] a force."

Force is a vector with magnitude (size) and direction. 500 N is the magnitude of the applied force (\( F_{\text{app}} \)) or friction (\( F_{\text{fric}} \)). So the term here is related to "the magnitude of".

2. Second Blank: "The size of the force labeled \( F_{\text{grav}} \) is [Select]."

In the vertical direction, \( F_{\text{norm}} \) (normal force) and \( F_{\text{grav}} \) (gravity) are balanced (since the box isn’t accelerating vertically). The box’s weight is labeled as 1000 N (from the diagram: the box has "1000 N" on it, so \( F_{\text{grav}} = 1000 \, \text{N} \)).

3. Third Blank: "The direction of \( F_{\text{grav}} \) is [Select]."

Gravitational force (\( F_{\text{grav}} \)) acts downward (toward the Earth’s center).

4. Fourth Blank: " \( F_{\text{norm}} \) has the same [Select] as \( F_{\text{grav}} \)..."

\( F_{\text{norm}} \) (normal force) and \( F_{\text{grav}} \) (gravity) are balanced, so they have the same magnitude (size).

5. Fifth Blank: "...and acts in the [Select] direction."

\( F_{\text{norm}} \) acts upward (opposite to \( F_{\text{grav}} \), which is downward) to balance it. So it acts in the opposite direction to \( F_{\text{grav}} \).

Final Answers (assuming standard force - diagram terminology):

1. The measurement 500 N is \(\boldsymbol{\text{the magnitude of}}\) a force.
2. The size of \( F_{\text{grav}} \) is \(\boldsymbol{1000 \, \text{N}}\).
3. The direction of \( F_{\text{grav}} \) is \(\boldsymbol{\text{downward}}\).
4. \( F_{\text{norm}} \) has the same \(\boldsymbol{\text{magnitude}}\) as \( F_{\text{grav}} \).
5. \( F_{\text{norm}} \) acts in the \(\boldsymbol{\text{opposite}}\) direction.

(Note: If the "Select" options include these phrases, these are the correct choices based on force equilibrium and vector properties.)