Solving for Boat Problem: Speed Relative to Water

[Momentum09]

Hello,

Could somebody please give me clues as to how to do this problem?

A ship cruises forward at vs = 4 relative to the water. On deck, a man walks diagonally toward the bow such that his path forms an angle delta = 28 degrees with a line perpendicular to the boat's direction of motion. He walks at vm = 2 m/s relative to the boat. At what speed does he walk relative to the water?

Thank you!

 

[nrqed]

Hello,

Could somebody please give me clues as to how to do this problem?

A ship cruises forward at vs = 4 relative to the water. On deck, a man walks diagonally toward the bow such that his path forms an angle delta = 28 degrees with a line perpendicular to the boat's direction of motion. He walks at vm = 2 m/s relative to the boat. At what speed does he walk relative to the water?

Thank you!

$\vec{v}_{mw} = \vec{v}_{ms} + \vec{v}_{sw}$
where my notation is ms = man with respect to the ship, mw = man with respect to the water, etc.

Just add the two vectors and find the magnitude of v_(mw)

 

[m2003]

I can provide some guidance on how to approach this problem. The first step would be to draw a diagram to visualize the scenario described. This will help you understand the given information and how the different velocities relate to each other.

Next, you can use the concept of vector addition to solve for the man's speed relative to the water. The man's velocity relative to the water can be represented as the sum of his velocity relative to the boat and the boat's velocity relative to the water.

To find the man's velocity relative to the water, you can use the formula Vm/w = Vm/b + Vb/w, where Vm/w is the man's velocity relative to the water, Vm/b is the man's velocity relative to the boat, and Vb/w is the boat's velocity relative to the water.

Substituting the given values, we get Vm/w = 2 m/s + 4 m/s = 6 m/s. Therefore, the man's speed relative to the water is 6 m/s.

I hope this helps guide you in solving the problem. Remember to always draw a diagram and use vector addition to solve for velocities in scenarios involving motion relative to different reference frames.