Question

use the force diagram on the elevator to complete the statements. the forces acting on the elevator are dropdown. ( f_g ) is dropdown ( f_p ). this means that the elevator will dropdown (options: balanced, unbalanced)

Explanation:

Step1: Analyze Force Balance

From the diagram, \( F_p \) (upward) and \( F_g \) (downward) act on the elevator. Visually, their vector lengths (magnitudes) seem equal, so forces are balanced.

Step2: Relate Force Balance to Motion

Balanced forces mean net force \( F_{net}=0 \). By Newton’s 1st law, acceleration \( a = \frac{F_{net}}{m}=0 \), so velocity (and motion) is constant (or at rest). Thus, forces are balanced, \( F_g = F_p \), and elevator is balanced.

Answer:

The forces acting on the elevator are \(\boldsymbol{\text{balanced}}\).
\( F_g \) is \(\boldsymbol{\text{equal to}}\) \( F_p \).
This means that the elevator will \(\boldsymbol{\text{be in a state of balanced motion (constant velocity or rest)}}\) (or just "balanced" as per the context of force balance affecting motion).

(For the dropdowns: First: balanced; Second: equal to; Third: balanced)