A child is on a playground they start to slide down a large slide. At what point is the child in dynamic equilibrium with the slide?

Responses

When the child pushes themselves down the slides.

As the child is in motion as they are sliding down.

When the slide ends and the child has stopped moving .

The child will not reach dynamic equilibrium.

9 answers

Dynamic equilibrium refers to a state in which an object is in motion with a constant velocity and experiences balanced forces acting upon it, resulting in no acceleration. In the context of the child sliding down the slide, the correct answer would be:

The child will not reach dynamic equilibrium.

This is because while sliding down the slide, the child is accelerating due to gravity, and cannot be considered to be in dynamic equilibrium until they come to a stop.

which statement correctly defines dynamic equilibrium?
Responses

Forces acting on a object are balanced and the object stays in rest.

Forces acting on a object are unbalanced and the object stays in rest.

Forces acting on a object are balanced and the object stays in motion.

Forces acting on a object are unbalanced and the object stays in motion.

The statement that correctly defines dynamic equilibrium is:

Forces acting on an object are balanced and the object stays in motion.

In dynamic equilibrium, an object moves with a constant velocity because the net force acting on it is zero (the forces are balanced), meaning it continues to move at the same speed and in the same direction without accelerating.

While you push a box you begin to decrease the force you are exerting on the box. When will the box reach static equilibrium
Responses

When Fpush=Ffriction
When Fpush>Ffriction

When Fpush<Ffriction

The box will not reach static equilibrium.

The correct response is:

When Fpush = Ffriction.

In static equilibrium, the forces acting on an object are balanced. This means that when the force you are pushing (Fpush) is equal to the force of friction (Ffriction), the box will not move, and it will be in static equilibrium. If Fpush is greater than Ffriction, the box will start to move, and if Fpush is less than Ffriction, the box will remain stationary, but not in equilibrium.

What is the fastest motion that can be measured in any frame of reference?
Responses

186,000 km/s

300,000 km/s

300,000 m/s

186,000 m/s

The fastest motion that can be measured in any frame of reference is:

300,000 km/s.

This value is the speed of light in a vacuum, commonly approximated as 299,792 km/s, and is often rounded to 300,000 km/s for simplicity in calculations and discussions.

Two people are on a train that is moving at 10 m/s north. They are walking 1 m/s south relative to the train. Relative to the ground, their motion is 9 m/s north.

Why are we able to use these motions to describe the motion relative to the ground?

Responses:

If one object is moving much slower than the speed of light, its speed can be added to that of another object.

The people are moving much slower than the speed of light so the ground acts as a frame of reference.

As long as the frame of reference is stationary, all motion can be described in this way.

The motion of everything in the Universe besides light can be described in this way.

The correct response is:

If one object is moving much slower than the speed of light, its speed can be added to that of another object.

In classical mechanics, velocities can be added linearly when dealing with objects moving at speeds much slower than the speed of light. This principle allows us to analyze the motion of the two people relative to the train and then find their motion relative to the ground.