Question

which of the following is true about static equilibrium? *
1 point
check all that apply.
forces are balanced
force are unbalanced
object is at rest
object is moving with constant velocity

last name *
coles

based on the position vs. time graph below, what is true about the object between 6 and 12 seconds? * 1 point
check all that apply.
graph 4: position vs. time
position (m)
30
25
20
15
10
5
-5
-10
-15
-20
-25
time (s)
2
6
8
10
12
14
16
18
20

the object is not moving
the position is constant
the object is in dynamic equilibrium
the object is in static equilibrium

Explanation:

First Question (Static Equilibrium):

Static equilibrium means an object is at rest (not moving) and the net force on it is zero (forces are balanced). An object moving with constant velocity is in dynamic equilibrium, not static. So "Forces are balanced" and "Object is at rest" are true.

Step1: Analyze the graph segment (6–12 s)

The position - time graph between 6 and 12 seconds is a horizontal line. In a position - time graph, a horizontal line means that the position of the object does not change with time.

Step2: Relate to motion concepts

If the position is constant, the object's velocity is zero (it is not moving). When an object is not moving (velocity \(v = 0\)) and the net force on it is zero, it can be in static equilibrium. Also, a constant position implies the object is not moving. Dynamic equilibrium is for objects moving with constant velocity, but here velocity is zero. So "the object is not moving", "the position is constant", and "the object is in static equilibrium" are true. (Note: Some sources may consider stationary objects in static equilibrium, and since velocity is zero, the object is at rest and in static equilibrium. The "dynamic equilibrium" option is incorrect here as dynamic equilibrium requires non - zero constant velocity.)

Answer:

• Forces are balanced
• Object is at rest

Second Question (Position vs. Time Graph 6–12 seconds):