What is the Force of Water on a Barge in Motion?

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The discussion focuses on calculating the force exerted by water on a barge in motion, given a pulling force of 7134.064 N at an angle of 18.96° and a barge mass of 9358.24 kg with an acceleration of 0.156 m/s². The net force acting on the barge is determined by multiplying its mass by its acceleration, resulting in a net force of approximately 1455.00 N. By applying trigonometric principles to resolve the horse's force into components, the force of water can be calculated as the difference between the net force and the horizontal component of the horse's pulling force.

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Suppose a horse pulls on the rope with a force of 7134.064422651 N at an angle of = 18.955585914° to the direction of motion of a barge, which is headed straight along the positive direction of an x axis. The mass of the barge is 9358.240127247 kg, and the magnitude of its acceleration is 0.155965913 m/s2. What are (a) the magnitude and (b) the direction of the force on the barge from the water?
 
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i know you find the force of the barge by multipliying its mass by its accelleration. But i just don't know how it ties into figureing out the force on the boat from the water?
 
You can find the component of the horse's force along the barge using trigonometry, correct? Since you know the net force on the barge = force of horse + force of water, and you know the numerical value of the force on the barge (=barge's mass * acceleration), you should be able to find the force of the water on the barge. It should be slowing or speeding up the barge...check and see. :)
 

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