Physics Homework: Finding Mass of Block with Applied Force and Acceleration

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SUMMARY

The problem involves calculating the mass of a block being pushed across a horizontal surface with a coefficient of kinetic friction of 0.15 and an applied force of 150N, resulting in an acceleration of 2.53m/s². The correct mass of the block is determined to be 38kg. Key equations include F=ma for net force and the relationship between frictional force and gravitational force, specifically F(friction) = F(gravity) * 0.15. A free body diagram is essential for visualizing the forces acting on the block.

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  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of frictional forces and coefficients of friction
  • Ability to draw and interpret free body diagrams
  • Basic algebra for solving equations
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Homework Statement



Block is pushed across a horizontal surface with a coefficient of kinetic friction of 0.15 by applying a 150N horizontal force

the block accelerates at a rate of 2.53m/s^2 find the mass of the block

Homework Equations



Uf=ff/fn f=ma

The Attempt at a Solution



0.15=?/fn f=m2.53


I tried crazy solutions but no progress

The TB answer is 38kg. I have no idea what this 150N of force is, i tried using it as the net force or frictional force but it didnt work, what is it and what do i do?
 
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0.15 is the coefficient of friction. So in this case the frictional force will be,

F(friction) = F(gravity)(.15)

Try drawing a free body diagram with the applied force (that's the 150N it's talking about) and the force of friction and try to figure it out. Remember F=ma
 

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