Final answer:
The frictional force must equal the applied force of +50 N in the opposite direction when the motion is at constant velocity, meaning the net force is zero due to Newton's first law. Free-body diagrams help explain motion, and in a frictionless environment, when the force stops, an object's speed remains constant. When multiple forces are involved, such as in pushing a car, the resultant force is the vector sum of the individual forces.
Step-by-step explanation:
In the scenario where a man pushes a box across the floor with a force of +50 N and the box moves at a constant velocity, the frictional force opposing the motion must equal -50 N. This is because, according to Newton's first law of motion, an object moving at a constant velocity must have a net force of zero acting upon it. When analyzing movement, free-body diagrams are very useful. They allow us to visually represent forces acting on an object and explain how these forces affect the object's motion. Furthermore, by understanding the relationship between forces, we can utilize other graphs such as position, velocity, and acceleration to predict motion. For example, if an object moves on a smooth icy surface with zero friction, once the applied force stops, the object's acceleration becomes zero, but its speed remains constant due to its momentum.
Drawing from another example, if the net external force on a 24-kg mower is 51 N and the force of friction is 24 N, the force exerted by the person on the mower is 75 N (51 N + 24 N). After the force is removed when the mower is moving at 1.5 m/s, it will eventually stop due to the continuous force of friction exerting a negative acceleration.
When dealing with combined forces, such as with two people pushing a car, the resultant force on the car is found by adding the individual forces together in a specific direction, which in the example is a combined force of 95 N.