Friction and accelerarion please check my work.

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SUMMARY

The discussion centers on calculating the work done by friction on a 55 kg cart subjected to a horizontal force of 200 Newtons, resulting in an acceleration of 2 meters/second squared. The participant calculates the work done by friction as 900 Joules, derived from the equation Work = FX, where F is the net force after accounting for friction. The participant also queries the acceleration of the cart without friction, indicating a need for clarity on the effects of frictional force on motion.

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Friction and accelerarion...please check my work.

a horizontal force of 200 Newtons is applied to a 55 kg cart across a 10 meter surface. If the cart accelerates at 2 meters/second squared, then what is the work done by the force of friction as it acts to retard the motion of the cart ??

Work= FX
work= maX

55 kg x 2 x 10 = 1100 - 200 N = 900 Joules ??


is this correct ?
 
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If there would have been no friction, what will be the acceleration of the cart when 200 N force is applied?
What is the actual acceleration?
What is the retardation due to frictional force?
 

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