A person of mass 65.0 kg is standing on a weighing scale inside an elevator. Three cases are shown below. In Case A, the elevator accelerates upwards, in case B, the elevator accelerates downward and in Case C, the elevator moves up with the constant velocity.     In each of the scenarios, A, B, and C:   Draw a free body diagram showing all forces on the mass. Make sure to indicate which force is bigger by drawing a vector of larger length.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A person of mass 65.0 kg is standing on a weighing scale inside an elevator. Three cases are shown below. In Case A, the elevator accelerates upwards, in case B, the elevator accelerates downward and in Case C, the elevator moves up with the constant velocity.

 

 

In each of the scenarios, A, B, and C:

 

  1. Draw a free body diagram showing all forces on the mass. Make sure to indicate which force is bigger by drawing a vector of larger length.
  2. Choose a coordinate system and write Newton’s Second Law in terms of all the forces.
  3. The apparent weight of the person corresponds to which force on the person?
  4. Calculate the apparent weight of the person if the magnitude of a is 3 m/s2 and the magnitude of v is 4 m/s.
  5. In which case is the apparent weight the same as the real weight? Why?
  6. In which scenario and value of a, can you feel weightless?
The image consists of three diagrams, labeled A, B, and C. Each diagram represents a black ball inside a rectangular box, illustrating different motion scenarios:

1. **Diagram A**: 
   - The box is moving upwards with acceleration, denoted by "a" and an upward arrow next to the box. 
   - The ball is positioned at the bottom of the box.

2. **Diagram B**:
   - The box is moving downwards with acceleration "a," indicated by a downward arrow.
   - The ball remains at the bottom of the box.

3. **Diagram C**:
   - The box is moving upwards with constant velocity, denoted by "v" and an upward arrow. 
   - Again, the ball is at the bottom of the box.

These diagrams illustrate fundamental physics concepts such as acceleration, velocity, and their effects on objects within a moving frame of reference.
Transcribed Image Text:The image consists of three diagrams, labeled A, B, and C. Each diagram represents a black ball inside a rectangular box, illustrating different motion scenarios: 1. **Diagram A**: - The box is moving upwards with acceleration, denoted by "a" and an upward arrow next to the box. - The ball is positioned at the bottom of the box. 2. **Diagram B**: - The box is moving downwards with acceleration "a," indicated by a downward arrow. - The ball remains at the bottom of the box. 3. **Diagram C**: - The box is moving upwards with constant velocity, denoted by "v" and an upward arrow. - Again, the ball is at the bottom of the box. These diagrams illustrate fundamental physics concepts such as acceleration, velocity, and their effects on objects within a moving frame of reference.
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