Solve Simple Physics Homework: Find Box Acceleration

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The problem involves a 12kg box on a surface with a kinetic friction coefficient of 0.50, connected to a 24kg box via a pulley. To find the acceleration of the second box, it's essential to apply Newton's second law and analyze the forces acting on both boxes. A free body diagram for each box is recommended to visualize the forces and calculate the net force. The possible acceleration options provided are 9.8m/s², 6.5m/s², 0.5m/s², and 4.9m/s², but a detailed calculation is necessary to determine the correct answer. Understanding the forces involved is crucial for solving this physics problem accurately.
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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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