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Three identical 4 kg crates are stacked one on top of the other. You want to acc

ID: 2037642 • Letter: T

Question

Three identical 4 kg crates are stacked one on top of the other. You want to accelerate them as much as possible by pushing on the lower crate, but the forces of static friction between the surfaces of the crates max out at 25 N. What is the maximum acceleration you can achieve before the upper crates start to slide? Answer:
What's the maximum amount of force you can apply to the lower crate?
Three identical 4 kg crates are stacked one on top of the other. You want to accelerate them as much as possible by pushing on the lower crate, but the forces of static friction between the surfaces of the crates max out at 25 N. What is the maximum acceleration you can achieve before the upper crates start to slide? Answer:
What's the maximum amount of force you can apply to the lower crate?
Three identical 4 kg crates are stacked one on top of the other. You want to accelerate them as much as possible by pushing on the lower crate, but the forces of static friction between the surfaces of the crates max out at 25 N. What is the maximum acceleration you can achieve before the upper crates start to slide? Answer:
What's the maximum amount of force you can apply to the lower crate?

Explanation / Answer

on top crate,

f_max = 25 N

so a_max = f / m = 25 / 4 = 6.25 m/s^2


Now for 3 crate system,

F_net = m a

F = (4 + 4 + 4)(6.25)

F = 75 N .....Ans

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