Answer:
![F_{c}=m\frac{v^{2}}{L}](https://tex.z-dn.net/?f=F_%7Bc%7D%3Dm%5Cfrac%7Bv%5E%7B2%7D%7D%7BL%7D)
Step-by-step explanation:
The centripetal force is product of the mass times the centripetal acceleration
![F_{c}=ma_{c}](https://tex.z-dn.net/?f=F_%7Bc%7D%3Dma_%7Bc%7D)
Now, the ![a_{c}=\frac{v^{2}}{R}](https://tex.z-dn.net/?f=a_%7Bc%7D%3D%5Cfrac%7Bv%5E%7B2%7D%7D%7BR%7D)
- v is the tangential velocity
- R is the radius of the circle (L in our case)
Therefore, the centripetal force will be:
![F_{c}=m\frac{v^{2}}{L}](https://tex.z-dn.net/?f=F_%7Bc%7D%3Dm%5Cfrac%7Bv%5E%7B2%7D%7D%7BL%7D)
It has a positive sign because the centripetal force points toward the center of the circle.
I hope it helps you!
Answer:
hour or 50 minutes
Step-by-step explanation:
<u>Last week:</u>
Claire mowed 5 lawns
She mowed each lawn in
hour.
She spent
![5\cdot \dfrac{7}{12}=\dfrac{35}{12}=2\dfrac{11}{12}](https://tex.z-dn.net/?f=5%5Ccdot%20%5Cdfrac%7B7%7D%7B12%7D%3D%5Cdfrac%7B35%7D%7B12%7D%3D2%5Cdfrac%7B11%7D%7B12%7D)
hours to mow 5 lawns.
<u>This week:</u>
Claire mowed 5 lawns
She mowed each lawn in
hour.
She spent
![5\cdot \dfrac{5}{12}=\dfrac{25}{12}=2\dfrac{1}{12}](https://tex.z-dn.net/?f=5%5Ccdot%20%5Cdfrac%7B5%7D%7B12%7D%3D%5Cdfrac%7B25%7D%7B12%7D%3D2%5Cdfrac%7B1%7D%7B12%7D)
hours to mow 5 lawns.
<u>Difference:</u>
![2\dfrac{11}{12}-2\dfrac{1}{12}=\dfrac{11}{12}-\dfrac{1}{12}=\dfrac{10}{12}=\dfrac{5}{6}](https://tex.z-dn.net/?f=2%5Cdfrac%7B11%7D%7B12%7D-2%5Cdfrac%7B1%7D%7B12%7D%3D%5Cdfrac%7B11%7D%7B12%7D-%5Cdfrac%7B1%7D%7B12%7D%3D%5Cdfrac%7B10%7D%7B12%7D%3D%5Cdfrac%7B5%7D%7B6%7D)
hour or 50 minutes.
Answer:
2
Step-by-step explanation:
6t 8
--------- - -----------
3t -4 3t -4
Since the denominators are the same we can subtract the numerators
6t-8
-----------
3t-4
Factor out a 2 from the numerator
2(3t-4)
-------------
3t-4
The 3t-4 cancel from the numerator and denominator
2
5.4 +20% = 5.6
because you are adding 205 or.20 to you bottle
Answer:
The value of 'a' will be:
![a\:=\:-\frac{f}{2}+-\frac{1}{2}m](https://tex.z-dn.net/?f=a%5C%3A%3D%5C%3A-%5Cfrac%7Bf%7D%7B2%7D%2B-%5Cfrac%7B1%7D%7B2%7Dm)
Step-by-step explanation:
Given the formula
![-F = m+2a](https://tex.z-dn.net/?f=-F%20%3D%20m%2B2a)
Let us solve the equation for 'a'
![-F = m+2a](https://tex.z-dn.net/?f=-F%20%3D%20m%2B2a)
Flip the equation
![2a+m=-f](https://tex.z-dn.net/?f=2a%2Bm%3D-f)
Add -m to both sides
![2a+m+(-m)=-f+(-m)](https://tex.z-dn.net/?f=2a%2Bm%2B%28-m%29%3D-f%2B%28-m%29)
![2a = -f - m](https://tex.z-dn.net/?f=2a%20%3D%20-f%20-%20m)
Divide both sides by 2
![\frac{2a}{2}=\:\:\frac{-f\:-\:m}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2a%7D%7B2%7D%3D%5C%3A%5C%3A%5Cfrac%7B-f%5C%3A-%5C%3Am%7D%7B2%7D)
![a\:=\:-\frac{f}{2}+-\frac{1}{2}m](https://tex.z-dn.net/?f=a%5C%3A%3D%5C%3A-%5Cfrac%7Bf%7D%7B2%7D%2B-%5Cfrac%7B1%7D%7B2%7Dm)
Therefore, the value of 'a' will be:
![a\:=\:-\frac{f}{2}+-\frac{1}{2}m](https://tex.z-dn.net/?f=a%5C%3A%3D%5C%3A-%5Cfrac%7Bf%7D%7B2%7D%2B-%5Cfrac%7B1%7D%7B2%7Dm)