Acceleration in 2 component directions

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Homework Help Overview

The discussion revolves around finding the acceleration of a 100 kg ship using a component solution, focusing on the forces acting in the x and y directions. The original poster attempts to apply Newton's second law, breaking down the forces into their respective components.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore breaking down forces into x and y components, questioning the correctness of their calculations and interpretations of negative values in the y direction. There is an ongoing dialogue about the implications of acceleration signs and their relation to direction.

Discussion Status

The discussion is active, with participants providing feedback on each other's reasoning. Some guidance has been offered regarding the calculations, and there is an exploration of the implications of negative acceleration in the y direction.

Contextual Notes

Participants are navigating assumptions about the forces involved, including buoyancy and the implications of negative acceleration. There is uncertainty regarding the interpretation of direction based on the calculated forces.

get_physical
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Homework Statement



Find acceleration of 100kg ship using a component solution.

Homework Equations



Fnet = ma

The Attempt at a Solution


break into x and y components? so that Fnet for x = 150cos20 + 300cos30 = 100a and so a = 4.01 in x direction.

Fnet for y = 150sin20+ 300sin30 = 100a and so a = 2.01 in y direction.

And the mg = buoyant force?

Not sure if I'm doing this right..
 

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You did the x direction correctly, but not the y direction. The second term should be -300 sin 30. There is no need to do the z direction, since the problem statement is implicitly not asking for that.

Chet
 
If i do -300 then I get a negative force in the y component... does that mean the boat is moving in the south direction (south east direction?)
 
get_physical said:
If i do -300 then I get a negative force in the y component... does that mean the boat is moving in the south direction (south east direction?)
No. It means it's accelerating in that direction.
 
oh yes a negative acceleration in the y component and a positive in the x component. does that mean it is going to get straigther and straighter in the x direction?
 
get_physical said:
oh yes a negative acceleration in the y component and a positive in the x component. does that mean it is going to get straigther and straighter in the x direction?
What makes you think that?
 
because the acceleration is decreasing in the y component. Doesn't that mean velocity is going to become 0 in the y component? And since it's + in the x component, then it will be eventually only have velocity in the x component?
 
No. It just means that the velocity in the y direction will become zero and then negative. As time progresses, it will become even more negative.
 
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