Answer:
Resultant horizontal force = 143 N
Explanation:
Since the a gle is 30° northwest, then it means the resultant force will be horizontal and as such;
Resultant horizontal force = 165 * cos 30
Resultant horizontal force = 142.89
Approximating to a whole number gives;
Resultant horizontal force = 143 N
I believe it would be a musical note
I'm not sure...
I feel ya.
Answer:
(a) ![\overrightarrow{L}=885.5\widehat{k}](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D885.5%5Cwidehat%7Bk%7D)
(b) ![\overrightarrow{L}=1046.5\widehat{k}](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D1046.5%5Cwidehat%7Bk%7D)
Explanation:
mass, m = 2.3 kg
vx = 40 m/s
vy = 75 m/s
(a) Angular momentum is given by
![\overrightarrow{L}=\overrightarrow{r}\times \overrightarrow{p}](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D%5Coverrightarrow%7Br%7D%5Ctimes%20%5Coverrightarrow%7Bp%7D)
Where, p is the linear momentum and r is the position vector about which the angular momentum is calculated.
Here, ![\overrightarrow{r}=3\widehat{i}-4\widehat{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Br%7D%3D3%5Cwidehat%7Bi%7D-4%5Cwidehat%7Bj%7D)
![\overrightarrow{p}=m\overrightarrow{v}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bp%7D%3Dm%5Coverrightarrow%7Bv%7D)
![\overrightarrow{p}=2.3\left ( 40\widehat{i}+75\widehat{j} \right )](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bp%7D%3D2.3%5Cleft%20%28%2040%5Cwidehat%7Bi%7D%2B75%5Cwidehat%7Bj%7D%20%5Cright%20%29)
![\overrightarrow{p}= 92\widehat{i}+172.5\widehat{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bp%7D%3D%2092%5Cwidehat%7Bi%7D%2B172.5%5Cwidehat%7Bj%7D)
So, the angular momentum
![\overrightarrow{L}=\left ( 3\widehat{i}-4\widehat{j} \right )\times\left ( 92\widehat{i}+172.5\widehat{j} \right )](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D%5Cleft%20%28%203%5Cwidehat%7Bi%7D-4%5Cwidehat%7Bj%7D%20%5Cright%20%29%5Ctimes%5Cleft%20%28%2092%5Cwidehat%7Bi%7D%2B172.5%5Cwidehat%7Bj%7D%20%5Cright%20%29)
![\overrightarrow{L}=885.5\widehat{k}](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D885.5%5Cwidehat%7Bk%7D)
(b) Here, ![\overrightarrow{r}=(3+2)\widehat{i}+(-4+2)\widehat{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Br%7D%3D%283%2B2%29%5Cwidehat%7Bi%7D%2B%28-4%2B2%29%5Cwidehat%7Bj%7D)
![\overrightarrow{r}=5\widehat{i}-2\widehat{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Br%7D%3D5%5Cwidehat%7Bi%7D-2%5Cwidehat%7Bj%7D)
![\overrightarrow{L}=\left ( 5\widehat{i}-2\widehat{j} \right )\times\left ( 92\widehat{i}+172.5\widehat{j} \right )](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D%5Cleft%20%28%205%5Cwidehat%7Bi%7D-2%5Cwidehat%7Bj%7D%20%5Cright%20%29%5Ctimes%5Cleft%20%28%2092%5Cwidehat%7Bi%7D%2B172.5%5Cwidehat%7Bj%7D%20%5Cright%20%29)
![\overrightarrow{L}=1046.5\widehat{k}](https://tex.z-dn.net/?f=%5Coverrightarrow%7BL%7D%3D1046.5%5Cwidehat%7Bk%7D)