if a ship moving to South and wind is flowing due West(at given velocities),we can find the angle by which the ship is deviated.Does here the momenta of wind and ship matter?If it had been water at same velocity instead of wind, what would have happened?
To determine the angle by which the ship is deviated when moving south while the wind is flowing due west, we need to consider the relative velocities of the ship and the wind.
When the ship moves to the south, and the wind blows towards the west, we can use vector addition to find the resultant velocity of the ship. The angle by which the ship is deviated from its original path would be the angle between the resultant velocity vector and the original southward direction.
If we assume that the wind velocity is Vw and the ship velocity is Vs, we can find the resultant velocity vector, Vr, using vector addition:
Vr = Vs + Vw
The angle between the resultant velocity vector and the original southward direction can be calculated using trigonometry:
θ = atan(Vw / Vs)
Now, to address your question about the momenta (or momentum) of the ship and the wind:
In this scenario, we are considering the velocities of the ship and the wind, not their momenta. Momentum refers to the product of an object's mass and velocity, and it is a vector quantity. Since we are not given any information about the masses of the ship or the wind, we cannot directly calculate their momenta. However, the velocities are sufficient to determine the resultant velocity and the angle by which the ship is deviated.
Now, let's consider what would happen if we replaced the wind with water moving at the same velocity:
If the ship is moving south and encounters water flowing due west at the same velocity as the wind, the same principle of vector addition can be applied. We would still calculate the resultant velocity and find the angle of deviation as we did before. However, it's important to note that the properties and behavior of water are different from that of wind.
Water has a higher density and viscosity compared to air (which is what wind consists of). Consequently, when a ship encounters water currents, the resistance and forces exerted on the ship are typically higher compared to when it encounters wind. This can result in a greater deviation angle for the ship when encountering water currents compared to wind currents with the same velocities.
Overall, while the principles of vector addition and trigonometry remain the same, there will likely be differences in the physical impact and resulting deviation when encountering water currents compared to wind currents.