Solving Homework: Man Pushes 11.2 kg Box

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SUMMARY

The discussion revolves around calculating the forces involved when a man pushes an 11.2 kg box on a horizontal surface at a constant speed of 3.5 m/s², with a coefficient of friction (μ) of 0.20. The horizontal force required to maintain motion is calculated using the formula F=ma, resulting in a force of 39.2 N. Additionally, the frictional force is determined using F=μN, yielding 21.95 N. The total force exerted by the man is 61.152 N, combining both the applied force and frictional force. For the second part of the problem, it is clarified that the box would slide a distance determined solely by the frictional force once the applied force is removed.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of friction and the coefficient of friction (μ)
  • Ability to calculate normal force (N) in physics
  • Familiarity with kinematic equations for motion
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  • Study the implications of constant speed versus acceleration in physics problems
  • Learn how to calculate the distance an object slides using kinetic friction
  • Explore the relationship between mass, force, and acceleration in various contexts
  • Investigate real-world applications of friction in mechanical systems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of force calculations and friction applications in real-world scenarios.

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Homework Statement


Man pushes a box that is 11.2 kg on a horizontal surface at a constant speed of 3.5 m/s2. Where μ is .20
a)What is the horizontal force rthat the man must apply to maintain the motion
b)If the force of part a is removed, how far does the box slide before coming to rest?

Homework Equations


F=ma
F=μN


The Attempt at a Solution


F=ma
F=11.2(3.5)
F=39.2

then
F=μN
F=(.20)(109.76)... [11.5*9.8]
F=21.95

then to get the total force i added 39.2+21.95 and got a total of 61.152

For part b I would asume that without part a the force would just be 21.95 because it doesn't account for the answerr to part a?
 
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Man pushes a box that is 11.2 kg on a horizontal surface at a constant speed of 3.5 m/s2

Constant speed or acceleration?
 

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