<p>Let F_{applied} be the applied force.</p> <p>Let F_{frictional} be the frictional force.</p> <p>Since F_{applied} = F_{frictional},</p> <p>There is no net force acting on the object (F_{net} = F_{applied} - F_{frictional} = 0 N),</p> <p>Thus, according to Newton's first law of motion, the object will remain at rest.</p>
Since the applied horizontal force equals the frictional force opposing the motion, the net force on the object is zero. According to Newton's first law of motion, an object at rest will remain at rest unless acted upon by a net external force. Given that the net external force is zero, the state of motion of the object will be: "Remains at rest."
The net force \( F_{net} \) on the object is given by the difference between the applied force \( F_{applied} \) and the frictional force \( F_{friction} \). Given: \( F_{applied} = 20 \, \text{N} \) \( F_{friction} = 20 \, \text{N} \) Calculating the net force: \( F_{net} = F_{applied} - F_{friction} \) \( F_{net} = 20 \, \text{N} - 20 \, \text{N} \) \( F_{net} = 0 \, \text{N} \) Since the net force on the object is zero, according to Newton's First Law, the object will remain at rest. Therefore, the state of motion of the object will be at rest.
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