Its b i literally have had this exact question
It could result in it not being good for your joints, as well as in the long run but shouldn't cause problems when your a child. I hope this helps your question!
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)
Answer:
3.95979 m/s
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
![v^2-u^2=2as\\\Rightarrow as=\frac{v^2-u^2}{2}\\\Rightarrow as=\frac{0^2-2.8^2}{2}\\\Rightarrow as=-3.92](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20as%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2%7D%5C%5C%5CRightarrow%20as%3D%5Cfrac%7B0%5E2-2.8%5E2%7D%7B2%7D%5C%5C%5CRightarrow%20as%3D-3.92)
Here ![s=\frac{1}{2}s](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B2%7Ds)
![\\\Rightarrow as=-7.84\ m/s^2](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20as%3D-7.84%5C%20m%2Fs%5E2)
![v^2-u^2=2as\\\Rightarrow -u^2=2as-v^2\\\Rightarrow u=\sqrt{v^2-2as}\\\Rightarrow u=\sqrt{0^2-2\times -7.84}\\\Rightarrow u=3.95979\ m/s](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as%5C%5C%5CRightarrow%20-u%5E2%3D2as-v%5E2%5C%5C%5CRightarrow%20u%3D%5Csqrt%7Bv%5E2-2as%7D%5C%5C%5CRightarrow%20u%3D%5Csqrt%7B0%5E2-2%5Ctimes%20-7.84%7D%5C%5C%5CRightarrow%20u%3D3.95979%5C%20m%2Fs)
Initial velocity of the puck should be 3.95979 m/s
When developing a question for a scientific inquiry, the question will ideally :
- be measurable
- Will have various variables that could be used for further testing
- not just simply ask why
hope this helps