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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
The system of boxes pictured is released from rest and immediately begins to slide. The 25 kg box is on a surface inclined at 62 degrees to the horizontal and has a kinetic friction coefficient 0.15. The 10 kg box is on a surface 10 kg inclined at 37 degrees and has a kinetic friction coefficient 0.18. The rope passes over a frictionless, 25 kg massless pulley.
Question: If the kinetic energy of the boxes is called ‘output’ and the work done by gravity is called ‘input’, calculate the efficiency [output/input] of the system.
[Hint: The net work done by the tension per unit of distance traveled is 0] [The efficiency of a process is the ratio of the quantity produced (output) to the quantity present
at the start of the process (input). ε = output/input. It is a ratio of like quantities so it has no units.] Â
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