This kayaker starts at rest (v=0) and paddles for 3 seconds. The force of the paddle on the water is parallel to the kayak motion and averages 200 N for the one second that it is in the water. The paddle blade then leaves the water and both paddle blades are airborne for 0.5 second. The other blade then enters the water to begins its 1 second, 200 N power stroke followed by 0.5 second with both paddles airborne. The mass of kayaker and kayak together is 100 kg. The water exerts a constant horizontal force backward on the kayak of 100 N, regardless of speed. Ignore the force of the air (i.e. wind). All accelerations are in the horizontal direction. a) What is the average acceleration of the person+kayak when a paddle is in the water? b) What is the average acceleration of the person+kayak when both paddles are airborne? c) Plot the position, velocity, and acceleration vs. time for these 3 seconds. (Each plot must have correct calculated values at 0.0, 1.0, 1.5, 2.5, and 3 seconds). d) Once the paddler is tired they can only produce 100 N of force between the paddle blade and the water. Show that the kayak is not accelerating, then, using a free body diagram of the paddler's torso+head+arms+paddle, find the muscle(s) needed to keep the torso upright while paddling. abdominal, back, neither, or both
This kayaker starts at rest (v=0) and paddles for 3 seconds. The force of the paddle on the water is parallel to the kayak motion and averages 200 N for the one second that it is in the water. The paddle blade then leaves the water and both paddle blades are airborne for 0.5 second. The other blade then enters the water to begins its 1 second, 200 N power stroke followed by 0.5 second with both paddles airborne. The mass of kayaker and kayak together is 100 kg. The water exerts a constant horizontal force backward on the kayak of 100 N, regardless of speed. Ignore the force of the air (i.e. wind). All accelerations are in the horizontal direction. a) What is the average acceleration of the person+kayak when a paddle is in the water? b) What is the average acceleration of the person+kayak when both paddles are airborne? c) Plot the position, velocity, and acceleration vs. time for these 3 seconds. (Each plot must have correct calculated values at 0.0, 1.0, 1.5, 2.5, and 3 seconds). d) Once the paddler is tired they can only produce 100 N of force between the paddle blade and the water. Show that the kayak is not accelerating, then, using a free body diagram of the paddler's torso+head+arms+paddle, find the muscle(s) needed to keep the torso upright while paddling. abdominal, back, neither, or both
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:This kayaker starts at rest (v=0) and paddles for 3 seconds. The force of the paddle on the water is parallel to the kayak motion and averages 200 N for the one second that it is in the water. The paddle blade then leaves the water and both paddle blades are airborne for 0.5 second. The other blade then enters the water to begin its 1 second, 200 N power stroke followed by 0.5 second with both paddles airborne. The mass of the kayaker and kayak together is 100 kg. The water exerts a constant horizontal force backward on the kayak of 100 N, regardless of speed. Ignore the force of the air (i.e. wind). All accelerations are in the horizontal direction.
a) What is the average acceleration of the person+kayak when a paddle is in the water?
b) What is the average acceleration of the person+kayak when both paddles are airborne?
c) Plot the position, velocity, and acceleration vs. time for these 3 seconds. (Each plot must have correct calculated values at 0.0, 1.0, 1.5, 2.5, and 3 seconds).
d) Once the paddler is tired they can only produce 100 N of force between the paddle blade and the water. Show that the kayak is not accelerating, then, using a free body diagram of the paddler’s torso+head+arms+paddle, find the muscle(s) needed to keep the torso upright while paddling. Abdominal, back, neither, or both.
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