Calculate the acceleration as the tractor slows down

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AI Thread Summary
The discussion focuses on calculating the acceleration of a tractor using a mass of 2000 kg and a force of 6.0 kN, which converts to 6000 N, resulting in an acceleration of 3 m/s². Participants emphasize the importance of using correct units in calculations, particularly converting kilonewtons to newtons. The correct formula applied is a = F/m, confirming that the acceleration calculation is accurate. There is clarification on the proper notation for acceleration units, with m/s² being the accepted format. Overall, the conversation stresses the significance of unit consistency in physics calculations.
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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.
 
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  • #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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