# Calculate the acceleration as the tractor slows down

• Jeff97
In summary, the conversation was about using 2000kg and 6.0kN to calculate acceleration in m/s^2. The importance of using specific equations and units in calculations was also discussed.
Jeff97
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

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.

Mister T
m/s^2 is wrong?

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:
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.

## 1. How do you calculate the acceleration of a tractor?

The acceleration of a tractor can be calculated by dividing the change in velocity by the change in time. This can be represented by the formula a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

## 2. What units are used to measure acceleration?

Acceleration is typically measured in meters per second squared (m/s²) in the metric system or feet per second squared (ft/s²) in the imperial system.

## 3. Can the acceleration of a tractor be negative?

Yes, the acceleration of a tractor can be negative if it is slowing down. This indicates that the final velocity is less than the initial velocity and the tractor is decelerating.

## 4. How is acceleration related to velocity?

Acceleration is the rate of change of velocity with respect to time. This means that an object's velocity increases or decreases at a certain rate over a given period of time to produce acceleration.

## 5. What factors can affect the acceleration of a tractor?

The acceleration of a tractor can be affected by its mass, applied force, and frictional forces from the ground. Other factors such as air resistance, incline of the terrain, and engine power can also impact the acceleration of a tractor.

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