Two Displacement Vectors Question.

AI Thread Summary
To solve the problem of adding two displacement vectors, the x and y components of each vector must be calculated separately using their magnitudes and angles. Displacement 1 is 3.0 m at 56°, and Displacement 2 is 4.1 m at 30°. After calculating the components, the total displacement vector's magnitude and direction can be determined. The discussion emphasizes the importance of breaking down vectors into components for accurate addition. Ultimately, the solution was reached successfully.
imac
Messages
7
Reaction score
0

Homework Statement


Add the following two displacement vectors; angles are measured from the x-axis with counterclockwise as positive.
Displacement 1 is 3.0 m at 56°
Displacement 2 is 4.1 m at 30°

The total displacement vector has a
Magnitude of _________m
and a Direction (degrees!) _________°


Homework Equations


Not sure...


The Attempt at a Solution



Haha, too many to even try to explain. lol
 
Physics news on Phys.org
imac said:

Homework Statement


Add the following two displacement vectors; angles are measured from the x-axis with counterclockwise as positive.
Displacement 1 is 3.0 m at 56°
Displacement 2 is 4.1 m at 30°

The total displacement vector has a
Magnitude of _________m
and a Direction (degrees!) _________°


Homework Equations


Not sure...


The Attempt at a Solution



Haha, too many to even try to explain. lol

With vector addition you will add the (x,y) components separately.
Develop those equations from the magnitude values and angles given.
 
LowlyPion said:
With vector addition you will add the (x,y) components separately.
Develop those equations from the magnitude values and angles given.

Thanks, I finally figured it out.
 
Last edited:
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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}...
Back
Top