How Far Will the Cart Travel at Increased Speeds?

  • Thread starter Thread starter Scholar1
  • Start date Start date
  • Tags Tags
    Energy Kinematics
Click For Summary

Homework Help Overview

The discussion revolves around a physics problem involving a cart's motion on a track. Initially, the cart moves at 0.5 m/s and comes to rest after traveling 1 m. The problem is then repeated with the cart starting at 1 m/s, and participants are tasked with determining how far the cart travels before stopping.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between initial velocity and stopping distance, with some suggesting that displacement is proportional to the square of the velocity. Others question the assumption that time is the same in both scenarios and discuss the implications of applied force on displacement.

Discussion Status

The conversation is ongoing, with various interpretations of the problem being explored. Some participants have provided reasoning for their answers, while others express confusion about the calculations and assumptions made. There is no clear consensus, as differing views on the physics principles involved are being debated.

Contextual Notes

Participants mention the same track being used for both trials and discuss the implications of this on the problem. There is also mention of an answer key that may not align with the reasoning presented in the thread.

  • #31
First read the question....I am mechanical engineer and I am working with motion...so he asked us that A cart has initial velocity is 0.5m/s and displacement 1m and the same track, the experiment do again and the cart velocity 1m/s and how far it moves? he mentions same track and the experiment do again...that is the mean key to understand the problem...in this question he only wants to know the displacement...first find out its time when it moves 1m...So v=X/t...0.5=1/t and t=2s... Now its initial velocity 1m/s and inital velocity can differ and it depends on your applied force...so you can travel same distance in a same time and initial velocity can differ. final answer x=vt...x=1*2 =2m
 
Physics news on Phys.org
  • #32
Ahmad Hossain said:
first find out its time when it moves 1m...So v=X/t...0.5=1/t and t=2s...
This calculation is incorrect. The speed is not constant. (Hint: Find the average speed.)

Ahmad Hossain said:
Now its initial velocity 1m/s and inital velocity can differ and it depends on your applied force...so you can travel same distance in a same time and initial velocity can differ. final answer x=vt...x=1*2 =2m
This is wrong. (For multiple reasons, including the same error made above.) You cannot just assume the the same time. Use physics!
 
  • #33
Scholar1 said:
I think it is best you let someone else help on this one. You are only telling me I do not understand physics instead of solving the question correctly. I already provided you the answer and then you just told me my answer again.
Doc Al said:
Not necessarily. The answer key can be wrong.

The key is: what is the same between the two trails? The assumption must be that the retarding force and thus the acceleration is the same.

Which leads to your answer of 4 m. The faster car has 4 times the energy and thus 4 times the work must be done to stop it and thus 4 times the distance.
billy_joule said:
EDIT: Sorry, posted my mistake. Can't figure out how to delete it!
what you do not understand.
Doc Al said:
This calculation is incorrect. The speed is not constant. (Hint: Find the average speed.)This is wrong. (For multiple reasons, including the same error made above.) You cannot just assume the the same time. Use physics!
I use same time because of his question and you can change initial velocity because you applied force is different.the box has same mass and the track is same...it is better you do the experiment. I am sure 100%...
 
  • #34
Ahmad Hossain said:
I use same time because of his question and you can change initial velocity because you applied force is different.the box has same mass and the track is same...
What do you mean by "applied force"? The force that gives the car its initial speed? That is irrelevant. What matters is the force from the track, which is the same.

Ahmad Hossain said:
I am sure 100%...
But still wrong.
 

Similar threads

  • · Replies 32 ·
2
Replies
32
Views
2K
Replies
18
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 40 ·
2
Replies
40
Views
5K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 7 ·
Replies
7
Views
9K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 13 ·
Replies
13
Views
6K
Replies
15
Views
4K