Question

the free - body diagram below represents the forces acting on an object. which of the following are true? check all that apply. $f_n = 123 n$, $f_f = - 90 n$, $f_a = 150 n$, $f_g = - 123 n$ $square$ the applied force is 150 n $square$ the friction force is 150 n $square$ the object will move to the left $square$ the object will move to the right $square$ forces are balanced $square$ force are unbalanced

Explanation:

Step1: Analyze Applied Force

From the diagram, \( F_A = 150\space N \), so "The applied force is 150 N" is true.

Step2: Analyze Friction Force

\( F_F = - 90\space N \) (magnitude 90 N), so "The friction force is 150 N" is false.

Step3: Analyze Vertical Forces

\( F_N = 123\space N \), \( F_g = - 123\space N \). Vertical forces balance (\( 123 + (- 123)=0 \)).

Step4: Analyze Horizontal Forces

Horizontal net force: \( F_{net,x}=F_A + F_F=150 + (- 90)=60\space N \) (positive, right direction). So object moves right, "The object will move to the left" false, "The object will move to the right" true.

Step5: Analyze Force Balance

Vertical forces balanced, horizontal net force \( 60\space N
eq0 \), so forces unbalanced. "Forces are balanced" false, "Force are unbalanced" true.

Answer:

• The applied force is 150 N
• The object will move to the right
• Force are unbalanced