Question - Determining the State of Motion of an Object with Balanced Forces
Solution:
\text{Net force} = \text{Applied force} - \text{Frictional force} \\\text{Net force} = 20\ N - 20\ N \\\text{Net force} = 0\ N \\\text{Since the net force is zero, the object will remain at rest.}
Tutor Solution:
To solve this problem, we need to analyze the forces acting on the object in question. According to Newton's first law of motion, an object will remain at rest or in uniform motion in a straight line unless acted upon by a net external force.Given that the object has a mass $$ m = 10 \, \text{kg} $$ and there is a horizontal force $$ F_{\text{applied}} = 20 \, \text{N} $$ applied to it, we must also consider the frictional force $$ F_{\text{friction}} = 20 \, \text{N} $$ that opposes the motion.The net force $$ F_{\text{net}} $$ acting on the object is the sum of all external forces. In this case, there are two forces to consider: the applied force pushing the object, and the frictional force resisting the motion. The net force is calculated by:\[ F_{\text{net}} = F_{\text{applied}} - F_{\text{friction}} \]Here, both forces are equal in magnitude but opposite in direction:\[ F_{\text{net}} = 20 \, \text{N} - 20 \, \text{N} \]\[ F_{\text{net}} = 0 \, \text{N} \]Since the net force acting on the object is zero, there is no unbalanced force to change the object’s state of motion. Consequently, according to Newton's first law, the object will not start moving and remain at rest.In summary, the state of motion of the object will be that it stays at rest.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com