How Do You Calculate Tension and Acceleration in a Two-Body Pulley System?

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SUMMARY

The discussion focuses on calculating the acceleration and tension in a two-body pulley system involving a 0.25kg object on a rough surface and a 0.1kg suspended object. The coefficient of kinetic friction is 0.183. The calculated acceleration is approximately 1.5 m/s², derived from the net force equations and the gravitational forces acting on both masses. The tension in the string is determined to be 0.4488 N, based on the frictional force and the gravitational force of the suspended mass.

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Homework Statement


Consider the two body system above. There is a 0.25kg object accelerating across a rough surface. The sliding object is attached by a string to a 0.1kg object which is suspended over a pulley. the coefficient of kinetic friction is 0.183. Calculate the acceleration of the block and the tension in the string.

Homework Equations


Fg=mg
Fnet=ma

The Attempt at a Solution



i got the acceleration to be 1.5...m/s^2 i don't know if it is right

fn=fg=mg 0.25 x9.81m/s^2 =2.4525N
ff=ufn
ff=0.183 x 2.4525N =0.4488075 ff=fg since fn=fg

fg2= 0.1 x 9.81 =0.981 then subtracted them to get fnet then divided by the total mass to get 1.502025m/s^2
=0.4488075N
 
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How did you get that answer? What exactly did you do? Can you please post your working?
 

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