Force of water on a pulled barge with angle

In summary, the barge is being pulled by a horse with a force of 7900 N at an angle of 18° to the direction of motion. The barge has a mass of 9200 kg and an acceleration of 0.10 m/s2. To find the force of the water on the barge, use the equation f=ma and consider components parallel and perpendicular to the direction of motion. The direction of the force on the barge from the water can be determined by setting the net force equal to ma and considering the counterclockwise direction from the +x axis as positive.
  • #1
bravohimz
3
0

Homework Statement



Suppose that the horse pulls on the rope with a force of 7900 N at an angle of 18° to the direction of motion of the barge, which is headed straight along the canal. The mass of the barge is 9200 kg, and its acceleration is 0.10 m/s2. What are the magnitude and the direction of the force on the barge from the water?



(a) Magnitude


(b) Direction (counterclockwise from the +x axis is positive)


Homework Equations



f=ma
trigs


The Attempt at a Solution



I trigged it;

(mass of the barge x the acceleration)-force of the horse cos (angle) = nope
 

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  • #2
What forces act on the barge? (The force of the water will be your unknown.) What's the net force on the barge? Set the net force = ma. Consider components parallel and perpendicular to the direction of motion.
 
  • #3
ohhhhhh
thank you so much !
 

1. How does the angle of the pulled barge affect the force of water?

The angle of the pulled barge has a significant impact on the force of water acting on it. As the angle increases, the force of water also increases due to the increased surface area of the barge facing the water. This means that the barge experiences a greater push from the water, resulting in a higher force. On the other hand, as the angle decreases, the force of water decreases due to the reduced surface area and less push from the water.

2. Can the force of water on a pulled barge be greater than the weight of the barge?

Yes, the force of water on a pulled barge can be greater than the weight of the barge. This can happen when the angle of the barge is steep, leading to a larger force of water acting on the barge. In such cases, the barge may experience a net force in the direction of the pull, resulting in it being pulled faster than it would be by just the force of the pull alone.

3. How does the speed of the barge affect the force of water?

The speed of the barge does not directly affect the force of water acting on it. However, the speed can indirectly impact the force of water by influencing the angle of the barge. If the barge is moving too fast, it can create a larger angle with the water, resulting in a higher force of water. On the other hand, a slower speed can lead to a smaller angle and a lower force of water.

4. What factors can affect the angle of the pulled barge?

The angle of the pulled barge can be affected by several factors, including the weight and shape of the barge, the speed and direction of the pull, and the properties of the water (such as its viscosity and density). Additionally, external factors like wind and currents can also impact the angle of the barge, ultimately affecting the force of water acting on it.

5. How can the force of water on a pulled barge be calculated?

The force of water on a pulled barge can be calculated using the formula F = ρAv², where F is the force of water, ρ is the density of water, A is the surface area of the barge facing the water, and v is the velocity of the barge relative to the water. This calculation takes into account the impact of both the angle and speed of the barge on the force of water.

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