What is the Force on a Barge Being Pulled by a Horse Across a River?

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Homework Statement


A horse is of the bank of a river pulling a barge in the same direction. Suppose the horse pulls on the rope with a force of 8600 N at an angle θ = 18Degrees to the direction of the motion of the barge, which is headed straight along the positive direction of an x-axis. The mass of the barge is 9500 kg, and the magnitude of its acceleration is 0.12 m/s2. What are the (a) magnitude and (b) direction (relative to positive x) of the force on the barge from the water?

Homework Equations


The Attempt at a Solution


Homework Statement


Homework Equations


The Attempt at a Solution

 
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You should show some work. At least draw a force diagram for yourself and post what you get for the sum of forces in the x and y directions.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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