Questions: Force and Motion Concepts Quick Check 3 of 5 While you push a box you begin to decrease the force you are exerting on the box. When will the box reach static equilibrium? (1 point) When Fpush = Ffriction When Fpush > Ffriction When Fpush < Ffriction The box will not reach static equilibrium.

Force and Motion Concepts Quick Check
3 of 5

While you push a box you begin to decrease the force you are exerting on the box. When will the box reach static equilibrium? (1 point)
When Fpush = Ffriction
When Fpush > Ffriction
When Fpush < Ffriction
The box will not reach static equilibrium.
Transcript text: 三 Force and Motion Concepts Quick Check 3 of 5 While you push a box you begin to decrease the force you are exerting on the box. When will the box reach static equilibrium? (1 point) When $F_{\text {push }}=F_{\text {friction }}$ When $F_{\text {push }}>F_{\text {friction }}$ When $F_{\text {push }}
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Solution

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Solution Steps

Step 1: Understanding Static Equilibrium

Static equilibrium occurs when an object is at rest and the net force acting on it is zero. This means that all the forces acting on the object are balanced.

Step 2: Analyzing the Forces

In this scenario, the forces involved are the pushing force (\(F_{\text{push}}\)) and the frictional force (\(F_{\text{friction}}\)). For the box to be in static equilibrium, these two forces must be equal in magnitude but opposite in direction.

Step 3: Condition for Static Equilibrium

The box will reach static equilibrium when the pushing force is exactly equal to the frictional force. This can be expressed as: \[ F_{\text{push}} = F_{\text{friction}} \]

Final Answer

The box will reach static equilibrium when \( F_{\text{push}} = F_{\text{friction}} \).

\[ \boxed{\text{When } F_{\text{push}} = F_{\text{friction}}} \]

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