Answer:
a) 20.29N
b) 19.42N
c) 15N
Explanation:
To find the magnitude of the resultant vector you can consider an axis in the middle of the vector, from which you can calculate the components of the vectors by using the angles given:
a) for 30°
![F_1=[9cos(15\°)\hat{i}+9sin(15\°)\hat{j}]N\\\\F_1=[8.69\hat{i}+2.32\hat{j}]N\\\\F_2=[12cos(15\°)\hat{i}-12sin(15\°)\hat{j}]N\\\\F_2=[11.59\hat{i}-3.10\hat{j}]N\\\\F=F_1+F_2=20.28N\hat{i}-0.78N\hat{j}\\\\|F|=\sqrt{(20.28N)^2+(0.78N)^2}=20.29N](https://tex.z-dn.net/?f=F_1%3D%5B9cos%2815%5C%C2%B0%29%5Chat%7Bi%7D%2B9sin%2815%5C%C2%B0%29%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF_1%3D%5B8.69%5Chat%7Bi%7D%2B2.32%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF_2%3D%5B12cos%2815%5C%C2%B0%29%5Chat%7Bi%7D-12sin%2815%5C%C2%B0%29%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF_2%3D%5B11.59%5Chat%7Bi%7D-3.10%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF%3DF_1%2BF_2%3D20.28N%5Chat%7Bi%7D-0.78N%5Chat%7Bj%7D%5C%5C%5C%5C%7CF%7C%3D%5Csqrt%7B%2820.28N%29%5E2%2B%280.78N%29%5E2%7D%3D20.29N)
F = 20.29N
b) for 45°
![F_1=[9cos(22.5\°)\hat{i}+9sin(22.5\°)\hat{j}]N\\\\F_1=[8.31\hat{i}+3.44\hat{j}]N\\\\F_2=[12cos(22.5\°)\hat{i}-12sin(22.5\°)\hat{j}]N\\\\F_2=[11.08\hat{i}-4.59\hat{j}]N\\\\F=F_1+F_2=19.39N\hat{i}-1.15\hat{j}\\\\|F|=\sqrt{(19.39N)^2+(1.15N)^2}=19.42N](https://tex.z-dn.net/?f=F_1%3D%5B9cos%2822.5%5C%C2%B0%29%5Chat%7Bi%7D%2B9sin%2822.5%5C%C2%B0%29%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF_1%3D%5B8.31%5Chat%7Bi%7D%2B3.44%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF_2%3D%5B12cos%2822.5%5C%C2%B0%29%5Chat%7Bi%7D-12sin%2822.5%5C%C2%B0%29%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF_2%3D%5B11.08%5Chat%7Bi%7D-4.59%5Chat%7Bj%7D%5DN%5C%5C%5C%5CF%3DF_1%2BF_2%3D19.39N%5Chat%7Bi%7D-1.15%5Chat%7Bj%7D%5C%5C%5C%5C%7CF%7C%3D%5Csqrt%7B%2819.39N%29%5E2%2B%281.15N%29%5E2%7D%3D19.42N)
F= 19.42N
c) for 90°
for this case you can consider that the direction of both vectors are the y and x axis of the Cartesian plane:

F=15N
I’m just gonna try an wander the the best I can, sorry if this is wrong I haven’t been taught this subject yet-
I’m Guessing its sublimating
( I’m sorry if this is wrong, remember I haven’t been taught this yet I’m only in 6th-)
Answer:
No
Explanation:
We know that
Rationality in 3D flow is given as follows

If ω is equal to zero then flow will be irrotational and if ω is not equal to zero then flow will be rotational .
So if flow is ir-rotational it means that the component of ω in x-direction,in y-direction and in z-direction direction should be zero.
So it is not necessarily that 3D parallel flow will be irrotaional.
Answer:
If the experiment works and the data is analyzed you can either prove or disprove your hypothesis.
Explanation:
Answer:
R = 9.85 ohm , r = 0.85 ohm
Explanation:
Let the two resistances by r and R.
when they are connected in series:
V = 12 V
i = 1.12 A
The equivalent resistance when they are connected in series is
Rs = r + R
So, By using Ohm's law
V = i Rs
Rs = V / i = 12 / 1.12 = 10.7 ohm
R + r = 10.7 ohm .... (1)
When they are connected in parallel:
V = 12 V
i = 9.39 A
The equivalent resistance when they are connected in parallel

So, By using Ohm's law
V = i Rp
Rp = V / i = 12 / 9.39 = 1.28 ohm
.... (2)
by substituting the value of R + r from equation (1) in equation (2), we get
r R = 8.36 ..... (3)

..... (4)
By solvng equation (1) and (4), we get
R = 9.85 ohm , r = 0.85 ohm