Finding acceleration using static/kinetic friction, mass & applied force?

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SUMMARY

The discussion focuses on calculating the acceleration of a 120kg fridge subjected to a 472N applied force, with static friction (Ms = 0.32) and kinetic friction (Mk = 0.28). To determine if the fridge will move, one must first calculate the force of static friction using the equation Ff = Ms * Fn, where Fn equals the weight of the fridge (1176N). Since the applied force exceeds the static friction force, the fridge will move, and the kinetic friction coefficient should be used to find the net force and subsequently the acceleration using F = ma.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of static and kinetic friction coefficients
  • Ability to calculate normal force (Fn) and weight (Fw)
  • Familiarity with force equations in physics
NEXT STEPS
  • Calculate the force of static friction using Ff = Ms * Fn
  • Determine the net force acting on the fridge after overcoming static friction
  • Use the kinetic friction coefficient (Mk) to find the frictional force during motion
  • Apply F = ma to calculate the acceleration of the fridge
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and friction, as well as educators looking for practical examples of force and motion calculations.

emall16
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Homework Statement



a fridge with a mass of 120kg is at rest on a kitchen floor. If Ms is 0.32 and Mk is 0.28 and you apply 472N of force what will be the acceleration of the fridge?

m=120kg
Ms=0.32
Mk=0.28
Fa=472N

Homework Equations



Ff=MFn

Fw=mg
Fw=1176N
Fn=1176N

F=ma


The Attempt at a Solution



not sure how to start solving for acceleration. was thinking that i needed to find the net force so that i could plug it into F=ma and solve for acceleration, but i am unsure how to find net force from the given information. could use the Ff=MFn equation but I am not sure whether to plug in static or kinetic friction. any help is appreciated, thank you!
 
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There are two steps to the problem...

Is the applied force enough to overcome the static friction? If not the fridge won't move so acceleration = 0.

If it is then your approach is correct. Use Mk in the equation.

Basically as soon as it starts moving friction drops from Ms to Mk. So you can ignore Ms when working out the net force.
 

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