What is the magnitude and direction of vector c

AI Thread Summary
To find vector C such that A + B + C = 0, first calculate the resultant vector A + B, which has a magnitude of 18.03 m and points at an angle of 56.31 degrees from the positive x-axis. Vector C must then have the same magnitude of 18.03 m but point in the opposite direction, which is 236.31 degrees from the positive x-axis. The discussion clarifies that when vector A points to the right, it is indeed at 0 degrees from the positive x-axis. Understanding this direction is crucial for accurately determining vector C's magnitude and direction.
torresmido
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Homework Statement



Vector A points to the right with magnitude 10 m/s, and vector B points upward vertically
with magnitute of 15 m/s. What is the magnitude and direction of vector c such that A+B+C=0

Any ideas on this problem are appreciated..

Homework Equations





The Attempt at a Solution

 
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A+B+C=0

(A+B)+C=0

Find A+B and then to make it zero C would be in the opposite direction of that resultant
 
I can do that, but I'm confused about one thing.
When they that the vector is pointing to the right, does it mean that its direction is 0 degrees from the positive x-axis or its direction is some angle between the the x-axis and the y-axis?
 
Well I assuming that it is in the direction of the positive x-axis, else they would have specified the angle(not zero) to which it acts.
 
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}...
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