Coefficient of the static friction homework

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The problem involves a large cube with a mass of 25 kg and a small cube with a mass of 4.0 kg, where the small cube may slide down unless a sufficient horizontal force P is applied. The coefficient of static friction between the cubes is 0.71, and the goal is to determine the minimum force P required to prevent the small cube from falling. One participant calculated P to be 4.0 x 10^2 N but expressed uncertainty about the accuracy of this answer. The discussion emphasizes the importance of showing work in problem-solving for collaborative assistance. Clear calculations and reasoning are essential for verifying the solution.
touma
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A large cube with a mass of 25 kg is being accelerated across a horizontal frictionless surface by a horizontal force P. A small cube with a mass of 4.0 kg is in contact with the front surface of the large cube and will slide downwards unless P is sufficiently large. The coefficient of the static friction between the cubes is 0.71. What is the smallest magnitude that P can have in order to keep the small cubbe from cliding downward?


I got an answer of 4.0 x 10^2 N. But I am unsure if that is correct. Can someone try this? And show work please? :bugeye:
 
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touma said:
Can someone try this? And show work please? :bugeye:

It really does not work that way here. You show your work and then people will help you.
 
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