How Does Passenger Movement Affect Airplane Momentum?

In summary: In this case, the plane would have a slightly lower forward momentum.In summary, when a passenger moves forward through the cabin of an airplane, the forward momentum of the pilot decreases as the passenger exerts a force on the plane, causing a redistribution of momentum within the closed system.
  • #1
BigMann
7
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You are on an airplane that is moving forward through the air? As you get up to move forward through the cabin to the restroom , what happens to the forward momentum of the pilot? (assume the plane and the passenger make up a closed system)

a) it stays constant
b) it increases
c) it decreases
d) there is no change as all forces exerted by the passenger are internal
e) the internal forces caused by the passenger increase the momentum of the airplane

My reasoning: the answer is that it increases because there is a force being pushed on the pilot from the passenger moving forward therefore the momentum is larger
 
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  • #2
But which way is that force being exerted on the pilot? Which way does the passenger push with his shoes to start his forward motion? How is the floor under the passenger connected to the pilot's seat?
 
  • #3
Think about it, visualize it, whatever else it. Draw yourself a force diagram and look at what happens to the airplane.

EDIT: I hate when that happens. Berkeman and I posted at the same time :-p
 
  • #4
The passenger pushes his feet down then pulls back to move forward therefore it should decrease right?
 
  • #5
BigMann said:
The passenger pushes his feet down then pulls back to move forward therefore it should decrease right?
Correct. The plane + passengers system has a constant total momentum, so if a passenger pushes himself forward, increasing his momentum, that happens at the expense of the momentum of the rest of the system.
 

FAQ: How Does Passenger Movement Affect Airplane Momentum?

1. What is the relationship between airplane velocity and momentum?

The momentum of an airplane is directly proportional to its velocity. This means that as the airplane's velocity increases, its momentum also increases.

2. How does an airplane's mass affect its momentum?

The mass of an airplane has a significant impact on its momentum. A heavier airplane will have a greater momentum than a lighter airplane at the same velocity.

3. What happens to an airplane's momentum during takeoff?

During takeoff, an airplane's momentum increases as it accelerates down the runway. Once it reaches a steady velocity, its momentum remains constant unless there are changes in velocity or mass.

4. How does the shape of an airplane affect its momentum?

The shape and design of an airplane can affect its momentum by influencing its drag and lift. A more streamlined and aerodynamic shape can reduce drag and increase lift, resulting in a greater momentum.

5. Can an airplane's momentum be changed in flight?

Yes, an airplane's momentum can be changed during flight by altering its velocity or mass. For example, when an airplane increases its speed, its momentum also increases. Similarly, if the airplane drops or releases some of its weight, its momentum will decrease.

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