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The step by step solution to the problem is below (b) A bacterium spins its helical flagellum like a rotary motor to overcome the drag

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(b) A bacterium spins its helical flagellum like a rotary motor to overcome the drag force that opposes its motion in order to propel itself through water. If the bacterium is moving at a constant velocity of 80 um/s and the drag force is 0.125 uN, what is this motor's power output? (If the energy released by the decomposition of one ATP molecule is 5 x10-20 J, how many ATP molecules per second are required?) Givens: F =0.125u N=0.125 X10 N v=80um/s=80 timex 10-mls Unknown: P =? W FAd Equation: P = Ad =FV At At At Substitute and Solve: P=(0.125X10 N ) (80X 10 )=1X10 W S This would require 2 x 108 ATP molecules per second (or 200 million molecules per second) 1x10-" JX( 1 ATP molecule =2X 108 ATP molecule 5X10-20 J

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