How Is Total Work Calculated for Two Connected Blocks with Friction?

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SUMMARY

The total work done on the 20 N block in the given scenario is calculated using the formula w = f · d, where f is the net force acting on the block and d is the distance moved. The kinetic friction force is determined using f_k = μ_k · n, resulting in a frictional force of 6.5 N. The correct calculation for the work done is w = (7.5 N - 6.5 N)(0.75 m) = 0.75 J. The initial attempt at the solution was incorrect due to miscalculating the net force.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of friction, including static and kinetic friction
  • Knowledge of work-energy principles in physics
  • Ability to perform basic algebraic calculations
NEXT STEPS
  • Study the principles of Newton's laws of motion in detail
  • Learn about the differences between static and kinetic friction coefficients
  • Explore the work-energy theorem and its applications
  • Practice solving problems involving connected objects and pulleys
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for problem-solving techniques related to work and friction in connected systems.

james brug
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Homework Statement



Two blocks are connected by a very light string passing over a massless and frictionless pulley . The 20.0 N block moves 75.0 cm to the right and the 12.0 N block moves 75.0 cm downward.

Find the total work done on the 20 N block if [tex]\mu _s\;[/tex]=(coeff. of static friction)=0.500 and [tex]\mu _k \;\;\;\;[/tex]=(coeff. of kinetic friction)=0.325 between the table and the 20 N block.

Homework Equations


[tex]w=f\cdot d[/tex]
[tex]f_k=\mu_k\cdot n[/tex]
[tex]f_s\leq\mu_s\cdot n[/tex]

The Attempt at a Solution


w=[7.5N-(.325)(20N)](.75m)=.75J--wrong.
 
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Never mind. I've solved it myself through some careful research and considerable effort. It is unfortunate that no one was able to answer this in time. Perhaps you people want some monetary compensation? Or maybe no one liked my problem. Not particularly hard, is it?
 

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