Concept question on External force

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Homework Help Overview

The discussion revolves around the concept of external forces and their relationship to speed and velocity, particularly in scenarios where an object moves at constant speed while experiencing a net external force.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the distinction between speed and velocity, with an emphasis on scenarios where speed remains constant while velocity changes, such as circular motion.

Discussion Status

Participants have engaged in clarifying the definitions of speed and velocity, and have provided examples of motion that maintains constant speed but not constant velocity. The discussion is exploring the implications of these concepts on external forces acting on objects.

Contextual Notes

There is an ongoing examination of the net external forces acting on objects in motion, particularly in relation to centripetal force and acceleration, with some participants questioning the complexity of these concepts in non-circular paths.

crysland
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Describe a situation in which the net external force is not zero, but its speed remains constant.

I don't know if this situation is possible to explain.
 
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What does Newton's 1st law say?
 
An object stays at rest, or if in motion, stays in motion at a constant velocity unless acted on by a net external force.
 
crysland said:
An object stays at rest, or if in motion, stays in motion at a constant velocity unless acted on by a net external force.
Good. Note the key word velocity. How does that differ from speed?
 
Velocity has both magnitude and direction but speed doesn't have direction
 
crysland said:
Velocity has both magnitude and direction but speed doesn't have direction
Exactly! So see if you can try to answer the question now.

Give an example of something with constant speed but not constant velocity.
 
Last edited:
A car going in a circle.
 
crysland said:
A car going in a circle.
How about a car following any curved path while moving at constant speed? A section of road could be similar to a sine wave, ellipse, spiral, parabola, ..., and a car would be able to follow that path while moving at constant speed.
 
crysland said:
A car going in a circle.
Your answer is definitely correct! :smile:
But, as the next post shows, other similar situations also exist.
 
  • #10
Ok so what is the net external force acting on the car?
 
  • #11
crysland said:
Ok so what is the net external force acting on the car?
Do you remember the expression for centripetal acceleration?
 
  • #12
Yes. So centripetal force that pulls it toward the center is external?
 
  • #13
Certainly.
 
  • #14
arildno said:
Do you remember the expression for centripetal acceleration?
That would be speed^2 / (radius of curvature), which gets complicated for paths other than a circle.

crysland said:
Yes. So centripetal force that pulls it toward the center is external?
The simple answer is that centripetal force = centripetal acceleration x mass of the car.
 

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