Finding acceleration using kinetic friction, final velocity, weight, and force

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SUMMARY

The discussion focuses on calculating the acceleration of a chair weighing 60N, pushed with a force of 25N, and experiencing kinetic friction of 0.27, resulting in a final speed of 4.0 m/s. The key formula utilized is Newton's second law, F = ma, where the frictional force is determined by multiplying the coefficient of kinetic friction by the normal force. The calculated distance of 5.5633m is irrelevant to the acceleration calculation, which is derived from the net force acting on the chair.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Knowledge of kinetic friction and its calculation
  • Ability to convert weight to mass using gravitational acceleration
  • Familiarity with basic kinematic equations
NEXT STEPS
  • Calculate the frictional force using the formula: F_friction = μ * N
  • Determine the mass of the chair from its weight using: m = W/g
  • Apply the net force to find acceleration using: a = F_net/m
  • Explore the implications of kinetic friction on motion dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and tutors assisting with problems involving forces and motion.

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Homework Statement


A man pushes a chair that weighs 60N with a force of 25N. The chair has a final speed of 4.0m/s. and a kinetic friction of .27. What is the acceleration?


Homework Equations


i have no idea where to start, i tired this formula that had me find distance but the acceleration on the bottom doesn't rely on the velocity on the top so i figured it was wrong
possibly: x=(Vx^2-Vox^2)/(2ax)?!


The Attempt at a Solution


it seems as if i am missing information/parts
after substituting everything into get the distance i got 5.5633m, but this question doesn't even ask for distance. I spent already over 4 hours on this 1 problem and still no luck, please help.
 
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F = ma right?

So find the frictional force on the chair (coefficient of kinetic friction multiplied to the normal force) and divide by the mass of the chair. That will give you the deceleration of the chair after the man stops pushing on it.
 

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