Wearing rubber or stay away from water or/ and a conductor
Answer:
![\frac{KE_{Rotational}}{KE_{Total}} = 0.018](https://tex.z-dn.net/?f=%5Cfrac%7BKE_%7BRotational%7D%7D%7BKE_%7BTotal%7D%7D%20%3D%200.018)
Explanation:
To develop this exercise we proceed to use the kinetic energy equations,
In the end we replace
![KE_{Total}=KE_{Translational}+KE_{Rotational}](https://tex.z-dn.net/?f=KE_%7BTotal%7D%3DKE_%7BTranslational%7D%2BKE_%7BRotational%7D)
![KE_{Total}=\frac{1}{2}m_{car}+4*\frac{1}{2}*I*(\frac{v}{r})^2](https://tex.z-dn.net/?f=KE_%7BTotal%7D%3D%5Cfrac%7B1%7D%7B2%7Dm_%7Bcar%7D%2B4%2A%5Cfrac%7B1%7D%7B2%7D%2AI%2A%28%5Cfrac%7Bv%7D%7Br%7D%29%5E2)
Here
meaning the 4 wheels,
So replacing
![KE_{Rotational}=4\frac{1}{2}*(\frac{1}{2}m_{wheels}*r^2)*(\frac{v}{r})^2=m*v^2](https://tex.z-dn.net/?f=KE_%7BRotational%7D%3D4%5Cfrac%7B1%7D%7B2%7D%2A%28%5Cfrac%7B1%7D%7B2%7Dm_%7Bwheels%7D%2Ar%5E2%29%2A%28%5Cfrac%7Bv%7D%7Br%7D%29%5E2%3Dm%2Av%5E2)
So,
![\frac{KE_{Rotational}}{KE_{Total}} = \frac{m_{wheels}*v^2}{\frac{1}{2}m_{car}*v^2+m_{wheels}*v^2}](https://tex.z-dn.net/?f=%5Cfrac%7BKE_%7BRotational%7D%7D%7BKE_%7BTotal%7D%7D%20%3D%20%5Cfrac%7Bm_%7Bwheels%7D%2Av%5E2%7D%7B%5Cfrac%7B1%7D%7B2%7Dm_%7Bcar%7D%2Av%5E2%2Bm_%7Bwheels%7D%2Av%5E2%7D)
![\frac{KE_{Rotational}}{KE_{Total}} = \frac{m_{wheels}}{\frac{1}{2}m_{car}+m_{wheels}}](https://tex.z-dn.net/?f=%5Cfrac%7BKE_%7BRotational%7D%7D%7BKE_%7BTotal%7D%7D%20%3D%20%5Cfrac%7Bm_%7Bwheels%7D%7D%7B%5Cfrac%7B1%7D%7B2%7Dm_%7Bcar%7D%2Bm_%7Bwheels%7D%7D)
![\frac{KE_{Rotational}}{KE_{Total}} = \frac{10}{545+10}](https://tex.z-dn.net/?f=%5Cfrac%7BKE_%7BRotational%7D%7D%7BKE_%7BTotal%7D%7D%20%3D%20%20%5Cfrac%7B10%7D%7B545%2B10%7D)
![\frac{KE_{Rotational}}{KE_{Total}} = 0.018](https://tex.z-dn.net/?f=%5Cfrac%7BKE_%7BRotational%7D%7D%7BKE_%7BTotal%7D%7D%20%3D%200.018)
The available options are:
Mint is a dicot.
Mint is a monocot.
Mint is an angiosperm.
Mint is a bulb plant.
Answer:
Mint is a dicot.
Explanation:
Given the fact that Mint is considered to be a member of Lamiaceae, an angiosperm plant which is characterized by typically having leaves that consist of reticulate vacation and appears like veins in structure. It also has a seed that contains two cotyledons.
Hence, it is considered a DICOT PLANT due to these characteristics. The botanical name of Mint is referred to as Mentha arvensis.
Answer:
u = 449 m/s
Explanation:
Given,
Mass of the bullet, m = 26 g
Mass of the wooden block,M = 4.7 Kg
height of the block,h = 0.31 m
initial speed of the block, u = ?
Using conservation of energy
![(M+ m)gh = \dfrac{1}{2}(M+m)v^2](https://tex.z-dn.net/?f=%28M%2B%20m%29gh%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%28M%2Bm%29v%5E2)
![gh = \dfrac{1}{2}v^2](https://tex.z-dn.net/?f=gh%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dv%5E2)
![v=\sqrt{2gh}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2gh%7D)
![v=\sqrt{2\times 9.81\times 0.31}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2%5Ctimes%209.81%5Ctimes%200.31%7D)
v = 2.47 m/s
Now, using conservation of momentum to calculate the speed of the bullet.
m u + M u' = (M+m)v
m u = (M+m)v
0.026 x u = (4.7+0.026) x 2.47
u = 449 m/s
Hence, the speed of the bullet is equal to 449 m/s.