a baby pushes a toy across the floor with a force of 5 newtons

inertia
balanced force
unbalanced force
velocity

Unbalanced force.

To understand these terms in the context of the example you mentioned, let's break them down:

1. Inertia: Inertia refers to an object's resistance to a change in its state of motion. It is related to an object's mass, where larger mass implies greater inertia. In the given example, inertia would be relevant when considering how the toy responds to the baby's force.

To determine how the toy responds to the force, we need to know the mass of the toy. Once we have the mass, we can calculate the acceleration of the toy using Newton's second law of motion: F = m * a, where F is the force, m is the mass, and a is the acceleration. Since the force and acceleration are linearly related (directly proportional), we can express the acceleration of the toy.

2. Balanced Force: Balanced forces occur when the net force on an object is zero, meaning that all forces acting on the object are equal in magnitude and opposite in direction. When there is a balanced force, the object will remain at rest or continue moving at a constant velocity (speed and direction).

To determine if the baby's force is balanced, we need to consider all the other forces acting on the toy. If the combined force applied by the baby and any other forces cancel each other out, resulting in a net force of zero, then the forces are balanced. In this case, the toy will either come to rest or continue moving at a constant velocity.

3. Unbalanced Force: Unbalanced forces occur when the net force acting on an object is not zero. When there is an unbalanced force, the object's motion will change, and it will experience acceleration.

To determine if the baby's force is unbalanced, we again need to consider all the other forces acting on the toy. If the combined force applied by the baby and any other forces do not cancel each other out, resulting in a net force that is not zero, then the forces are unbalanced. In this case, the toy will experience acceleration in the direction of the net force.

4. Velocity: Velocity is a vector quantity that describes the rate at which an object changes its position. It includes both speed (magnitude) and direction.

To determine the velocity of the toy, we need additional information such as its initial velocity, acceleration, and time. Using the equations of motion, we can calculate the final velocity of the toy after a certain period.

So, to fully understand the situation described in your example, we need more information like the mass of the toy, any other forces acting on it, and the duration over which the baby applies the force.