Friction and accelerarion please check my work.

AI Thread Summary
The discussion focuses on calculating the work done by friction on a 55 kg cart subjected to a 200 Newton horizontal force, resulting in an acceleration of 2 m/s². The user attempts to calculate work done by friction using the formula Work = FX and concludes with a value of 900 Joules after accounting for the applied force. The conversation also raises questions about the cart's acceleration without friction and the retardation caused by friction. Clarifying these calculations is essential for understanding the effects of friction on motion.
williamx11373
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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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