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Chapter 5: Problem 25

During a popular art exhibition, the museum staff finds it necessary to protect the artwork by limiting the total number of viewers in the museum at any particular time. New viewers are admitted at the same rate that others leave. Is this an example of static equilibrium or of dynamic equilibrium? Explain.

Short Answer

Expert verified
This is an example of dynamic equilibrium because viewers are entering and leaving at the same rate.

Step by step solution

01

Understand the context

Review the scenario of controlling the number of viewers in the museum to protect the artwork. Note that viewers are admitted and leave the museum at the same rate.
02

Define types of equilibrium

Static equilibrium occurs when all forces and movements are balanced, and there is no change over time. Dynamic equilibrium occurs when there is continuous movement or change, but there is still a balance over time.
03

Identify the scenario type

Determine if there is continuous movement or change in the viewer population. In this scenario, viewers enter and leave the museum at the same rate, indicating there is movement but a balance.
04

Conclude the type of equilibrium

Since there is continuous movement with viewers entering and leaving at the same rate, it fits the definition of dynamic equilibrium.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

static equilibrium
In static equilibrium, all forces and movements are perfectly balanced, and there is no change over time. Imagine balancing a ruler on your finger—if it stays perfectly still and doesn't tilt, it's in static equilibrium.
For example, in a perfectly still room, if a picture hangs on the wall without moving, it is in static equilibrium. The forces acting on the picture, such as gravity and the tension in the nail, are balanced.
Key features include no motion and no changes in the system. Everything is stable.
viewer population control
Viewer population control involves regulating how many people can enter and leave a museum or exhibition at any given time. This helps protect the artwork and ensures a comfortable experience for all visitors.
In the context of our example, the museum staff limits the number of viewers to prevent overcrowding. They do this by allowing new viewers to enter only when others leave.
  • This keeps the total number of viewers constant.
  • It's a dynamic process because there's constant movement.
However, the population stays balanced because the rate of people entering equals the rate of people leaving.
balancing forces and movements
Balancing forces and movements is crucial for understanding equilibrium. In static equilibrium, forces are balanced with no movement, while in dynamic equilibrium, there is a balance of continuous movements.
For example:
  • Static: A stationary car on a flat road.
  • Dynamic: A car moving at a constant speed on a highway.
In our museum example, viewers are constantly moving in and out, so their numbers are in a dynamic equilibrium. Balance is maintained by controlling the flow of people, ensuring neither the forces nor the movements cause any imbalance.

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Most popular questions from this chapter

If a planet is in thermal equilibrium, a. no energy is leaving the planet. b. no energy is arriving on the planet. c. the amount of energy leaving equals the amount of energy arriving. d. the temperature is very low.

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