While rushing to catch your plane your suitcase busted its wheel, forcing you to
ID: 1263924 • Letter: W
Question
While rushing to catch your plane your suitcase busted its wheel, forcing you to drag it across the terminal's long, straight hallway over to the gate. It takes you about 6 minutes to make it to your gate. You count your steps to pass the time and determine that you walked a distance of about 1080 feet at a steady pace. You estimate that the force you are exerting on your suitcase is about 50 N directed at about 45 degrees above the horizontal.
How much energy is transferred to the suitcase by friction?
Explanation / Answer
by work energy theorm
since the suitcase is moving with constant velocity
work done by person = work done by friction in opposite direction
therefore
work done by friction is = F*S *cos(X) = 50* 329.184 *cos(45) { 1080 feet = 329.184 m}
= 11638.41 Nm
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