Solve Simple Physics Homework: Find Box Acceleration

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SUMMARY

The discussion focuses on calculating the acceleration of a second box connected via a pulley to a first box resting on a surface with kinetic friction. The first box has a mass of 12kg and a coefficient of kinetic friction of 0.50, while the second box has a mass of 24kg. To solve the problem, participants recommend using free body diagrams and applying Newton's second law, which states that net force equals mass times acceleration. The potential answers provided include 9.8m/s², 6.5m/s², 0.5m/s², and 4.9m/s².

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of free body diagrams
  • Familiarity with kinetic friction concepts
  • Basic algebra for solving equations
NEXT STEPS
  • Study the application of Newton's second law in different contexts
  • Learn how to draw and interpret free body diagrams
  • Research the effects of kinetic friction on motion
  • Practice solving problems involving pulleys and connected masses
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Students in physics courses, educators teaching mechanics, and anyone interested in understanding dynamics involving friction and pulleys.

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Homework Statement



A box with a mass of 12kg rests on a horizontal surface. The coefficient of kinetic friction between the box and surface is 0.50. The box is connected to a rope that passes around a pulley and suspends a second box of mass 24kg. What is the acceleration of the second box?

Homework Equations





The Attempt at a Solution



A) 9.8m/s2 [down]
B) 6.5m/s2 [down]
C) 0.5m/s2 [down]
D) 4.9m/s2 [down]

which one?



 
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physics102 said:

Homework Statement



A box with a mass of 12kg rests on a horizontal surface. The coefficient of kinetic friction between the box and surface is 0.50. The box is connected to a rope that passes around a pulley and suspends a second box of mass 24kg. What is the acceleration of the second box?

Homework Equations





The Attempt at a Solution



A) 9.8m/s2 [down]
B) 6.5m/s2 [down]
C) 0.5m/s2 [down]
D) 4.9m/s2 [down]

which one?
First of all, welcome to PF!
Second, here you must show an attempt, otherwise we don't have a clue about where you're stuck.
Regarding the problem, I suggest you to draw a free body diagram for each block and use the fact that the net force is worth mass times acceleration. (Newton' second's Law)
 

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