Calculate the acceleration of the system

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SUMMARY

The discussion focuses on calculating the acceleration of a system consisting of two crates with masses m1 = 60 kg and m2 = 130 kg, subjected to a 620 N force and a coefficient of kinetic friction of 0.15. The correct approach involves using Newton's second law, where the net force acting on the system is the applied force minus the frictional force. The calculated acceleration is approximately 2.54 m/s² to the right, and the force each crate exerts on the other can be determined using the relationship between mass, acceleration, and friction.

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Two crates, of mass m1 = 60 kg and m2 = 130 kg, are in contact and at rest on a horizontal surface (Fig. 4-54). A 620 N force is exerted on the 60 kg crate. The coefficient of kinetic friction is 0.15.

(a) Calculate the acceleration of the system.
m/s2 (to the right)
(b) Calculate the force that each crate exerts on the other.
N
(c) Repeat with the crates reversed. acceleration m/s2
crate force N


I'm trying to caculate the acceleration and I can't seem to get it. I tried this but I know it is incorrect:

Mk*G=a

.15 * (60*9.8) - .15 *(130*9.8)= -102.9

Can someone tell me where I'm going astray?
 
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[tex] \mu_{k} mg[/tex]
is not your acceleration. It is the force exerted by kinetic friction. It opposes the 620 N force applied to the 60 kg crate.
 

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