Solving Vector Problem: What Went Wrong?

  • Thread starter Thread starter Miike012
  • Start date Start date
  • Tags Tags
    Vector
AI Thread Summary
The discussion centers on solving a vector problem involving Vector A and Vector B, with the goal of finding Vector C. The initial calculations for Vector A and Vector B are correct, but the misunderstanding arises in interpreting the problem's requirement for the final displacement as a vector rather than a scalar. The correct approach is to find Vector C such that Vector B plus Vector C equals Vector A. The final position indicates that the resultant vector should indeed be Vector A at (0,10), emphasizing the need to accurately determine Vector C. Understanding these concepts is crucial for resolving the vector problem correctly.
Miike012
Messages
1,009
Reaction score
0
Posted a picture... the picture consists of the word problem and the triangle is how I interpreted the problem...

Vector A Components: (0,10)
Vector B Components: ( Cos60*6,Sin60*6)

Vector C Components: (Cos60*6 = 3 , Sin60*6 + 10 = 15) ... ( 3 , 15 )

Vector C = (9 + 225) ^(1/2) = 15

The true answer is 5.66...
What did I do wrong?
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    11.6 KB · Views: 454
Physics news on Phys.org
Miike012 said:
Posted a picture... the picture consists of the word problem and the triangle is how I interpreted the problem...

Vector A Components: (0,10)
Vector B Components: ( Cos60*6,Sin60*6)
Correct up until here.

You want to find vector C such that B+C = A. Do you understand why?

Also you should note that the questions asks for the final displacement, which is a vector, not a scalar.
 
Would the resultant vector be A at (0,10) because that is where the final position lies?
 
Miike012 said:
Would the resultant vector be A at (0,10) because that is where the final position lies?
Yes, but you want to find C
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Find the magnitude of the electric field at point P
Replies
5
Views
2K
How to find the work on an object on an inclined plane pulled with a rope
Replies
4
Views
2K
Force pulling on a string at an angle with a block at the other end
Replies
2
Views
1K
Calculate electric force using Coulomb's law (vector components are the struggle)
Replies
3
Views
1K
Are the 2nd and 3rd problems in this video correctly solved? (charged dipole and organ pipe problems)
Replies
3
Views
1K
Finding the expression for the x-component of velocity (vectors?)
Replies
2
Views
3K
Solving a Puzzling Physics Problem: ##15 \pm 3\sqrt{15}##
Replies
17
Views
2K
Vector Addition/Components Problem
Replies
4
Views
3K
Am I Calculating the Components of V3 Correctly?
Replies
9
Views
2K
Solve for vectors needed to cancel out given sets of forces
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top