What is the acceleration of a sled in a tractor-pull competition?

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SUMMARY

In a tractor-pull competition, the sled experiences an acceleration of 7.85 m/s² when a force of 1.3 kN is applied. The sled has a mass of 11,000 kg, and the coefficient of kinetic friction is 0.80. The frictional force calculated is 86,240 N, which is significant as it opposes the applied force from the tractor. Understanding the net force acting on the sled is crucial for accurate acceleration calculations.

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  • Newton's Second Law of Motion
  • Understanding of frictional forces
  • Basic algebra for solving equations
  • Knowledge of unit conversions (kN to N)
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  • Study the implications of friction in dynamics problems
  • Learn about different types of friction (static vs. kinetic)
  • Explore real-world applications of Newton's laws in competitive sports
  • Investigate the effects of mass and force on acceleration
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Physics students, engineering students, and anyone interested in the mechanics of competitive sports, particularly in understanding forces and motion in tractor-pull competitions.

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Homework Statement


In a tractor-pull competition, a tractor
applies a force of 1.3 kN to the sled, which
has mass 1.1 × 104 kg. At that point, the coefficient
of kinetic friction between the sled
and the ground has increased to 0.80. What
is the acceleration of the sled? Explain the
significance of the sign of the acceleration.


f=1300n
m = 1.1 x 10^4 kg
m =0.80
a=?

Homework Equations



F=ma

m=Ff/Fn

Fnet= Fx+Fy

The Attempt at a Solution




ff=0.80 x (9.8)(1.1x10^4)
ff= 86240


86240=(1.1 x 10^4kg) a

a= 7.85m/s2
 
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There are two forces acting on the sled here. One is by the tractor, the other is due to friction. By Newton's second law of motion, the NET force is equal to the product of mass and acceleration.
Fnet = ma.

You've considered only ff in calculating the acceleration.

Also, make sure if you've taken the weight correctly. An 11 ton sled seems like a lot! :eek:
 

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