Calculate the acceleration as the tractor slows down

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Homework Help Overview

The discussion revolves around calculating the acceleration of a tractor as it slows down, involving a mass of 2000 kg and a force of 6.0 kN. Participants are examining the application of Newton's second law of motion in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of mass and force to calculate acceleration, questioning the necessity of gravity in this scenario. There are inquiries about the correct interpretation of units and the proper application of formulas.

Discussion Status

The discussion is active with participants clarifying the correct units for acceleration and the proper conversion of force from kN to N. Some guidance has been provided regarding unit manipulation and the importance of maintaining consistency in calculations.

Contextual Notes

There appears to be some confusion regarding the mass value (2000 kg vs. 200 kg) and the proper notation for acceleration units. Participants are also addressing the implications of using different units in their calculations.

Jeff97
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Homework Statement
The mass of a tractor is 200kg. The braking force on the tractor is 6.0kN. Calculate the acceleration as the tractor slows down.
Relevant Equations
g=9.8N kg^1
So I use 2000kg and 6.0kN to get 3ms^2
 
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Why do you need gravity? What is falling?
 
True, nothing. Is this right tho?
 
Jeff97 said:
So I use 2000kg and 6.0kN to get 3ms^2

What do you mean by "use"? How are you using them and why?
 
Is it 2000kg or 200kg? You should use a specific equation (show it), plug in numbers with units, and calculate the result being careful about the units.
 
Its 2000kg. a=F/m but 6 is in kN so you change it to N=6000 a=6000/2000=3ms^2
 
You need to be careful about the units. Especially in more complicated formulas, it is wise to put the units into the formulas with the numbers. Then you can cancel and manipulate units correctly in your calculation.
A Newton is: ## 1 N = 1 kg \frac m {s^2}##.
 
Jeff97 said:
Its 2000kg. a=F/m but 6 is in kN so you change it to N=6000 a=6000/2000=3ms^2

Well, you rewrite 6 kN as 6000 N. You wouldn't write N=6000, but otherwise you have done it correctly.
 
Mister T said:
Well, you rewrite 6 kN as 6000 N. You wouldn't write N=6000, but otherwise you have done it correctly.
Except for the units of acceleration.
 
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  • #10
m/s^2 is wrong?
 
  • #11
Jeff97 said:
m/s^2 is wrong?
m/s^2 is correct. The posts I see say ms^2, not m/s^2.
 
Last edited:
  • #12
Yes, ##\mathrm{m/s^2}## is correct. Alternatively you could write ##\mathrm{m \cdot s^{-2}}##. But ##\mathrm{m \cdot s^2}## is not correct.
 

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