Understanding Constant Velocity and Acceleration in Frictionless Environments

In summary, the conversation discusses the concept of constant velocity and how it relates to the forces acting on an object. It is explained that in a perfect scenario with a frictionless floor, everything would remain in the same position. However, in the real world, if the box is not initially moving but everything else is, the box would slide backwards and a force would be needed to accelerate it. The original poster thanks the person who clarified their misunderstanding.
  • #1
Reisen
3
0
Your standard first-post-pleading-for-help here :)

This doesn't make sense:

Say you've got a setup like in picture 1 (floor is frictionless)

If the F readout on the scale is 18N, and the box is 5kg and F=ma, then 18N/5kg = 3.6m/s^2 = a, right? Okay...

Now, if the velocity is constant, there is no acceleration, yes? But then F = ma, then F = 5kg * (0m/s^2) = 0. But if the boxcar were moving forward at a constant rate with a frictionless floor, the box would slide to the back, wouldn't it? The rope has to be exerting SOME force on the box to keep it in place, so that's why I'm wondering how this doesn't work.

Thanks in advance to whoever points out my mistake :)

-Reisen
 

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  • #2
Well if everything in your picture, the box, car and scale is moving at the same constant velocity initally then nothing would change. Everything would in the same position relative to everything else.

However if the box is not moving initally but everything else is then yes, the box would move towards the back of the truck and the scale would have to apply a force on the box to accelerate it.
 
  • #3
Ah, yes. Thank you. I was getting the real world all confused with the perfect world of elementary physics :D

That answers my question, thank you.

-Reisen
 

Related to Understanding Constant Velocity and Acceleration in Frictionless Environments

1. What is an accelerated frame of reference?

An accelerated frame of reference is a frame of reference that is constantly changing its velocity with respect to an inertial frame of reference. This means that an observer in an accelerated frame would perceive objects around them as being in motion, even if they are actually at rest in the inertial frame.

2. How does motion in an accelerated frame differ from motion in a non-accelerated frame?

In an accelerated frame of reference, objects will appear to have forces acting on them even if they are at rest in the inertial frame. This is because the accelerated frame is constantly changing its velocity, causing objects to appear to accelerate or decelerate. In a non-accelerated frame, objects at rest will remain at rest unless acted upon by an external force.

3. What is the difference between acceleration and velocity in an accelerated frame?

Acceleration and velocity are both measures of an object's motion, but they are not the same thing. Velocity describes an object's speed and direction of motion, while acceleration describes the rate at which an object's velocity is changing. In an accelerated frame, an object's velocity will constantly be changing due to the changing velocity of the frame itself.

4. How does acceleration affect the perception of gravity in an accelerated frame?

In an accelerated frame, objects will appear to accelerate towards the direction of motion, even if they are at rest in the inertial frame. This is perceived as a gravitational force, known as the equivalence principle. The stronger the acceleration of the frame, the stronger the perceived gravity will be.

5. Can motion in an accelerated frame be described by Newton's laws of motion?

Yes, Newton's laws of motion can still be applied in an accelerated frame of reference. However, it is important to note that these laws were developed for objects in an inertial frame and may need to be modified for objects in an accelerated frame. Additionally, the perceived forces in an accelerated frame may not be actual external forces acting on the objects.

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