A) position time graph for both is shown
here one of the graph is of lesser slope which means it is moving with less speed while other have larger slope which shows larger speed
At one point they intersects which is the point where they both will meet
B) Let the two will meet after time "t"
now we can say that
if they both will meet after time "t"
then the total distance moved by you and other person will be same as the distance between you and home
so it is given as
![v_1t + v_2t = d](https://tex.z-dn.net/?f=v_1t%20%2B%20v_2t%20%3D%20d)
![4*t + 28*t = 3.2 km](https://tex.z-dn.net/?f=4%2At%20%2B%2028%2At%20%3D%203.2%20km)
![t = \frac{3.2}{32} = 0.1 hr](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B3.2%7D%7B32%7D%20%3D%200.1%20hr)
so they will meet after t = 6 min
so from position time graph we can see that two will meet after t = 6 min where at this position two graphs will intersect
Answer:
The equivalent stiffness of the string is 8.93 N/m.
Explanation:
Given that,
Spring stiffness is
![k_{1}=20\ N/m](https://tex.z-dn.net/?f=k_%7B1%7D%3D20%5C%20N%2Fm)
![k_{2}=30\ N/m](https://tex.z-dn.net/?f=k_%7B2%7D%3D30%5C%20N%2Fm)
![k_{3}=15\ N/m](https://tex.z-dn.net/?f=k_%7B3%7D%3D15%5C%20N%2Fm)
![k_{4}=20\ N/m](https://tex.z-dn.net/?f=k_%7B4%7D%3D20%5C%20N%2Fm)
![k_{5}=35\ N/m](https://tex.z-dn.net/?f=k_%7B5%7D%3D35%5C%20N%2Fm)
According to figure,
and
is in series
We need to calculate the equivalent
Using formula for series
![\dfrac{1}{k}=\dfrac{1}{k_{2}}+\dfrac{1}{k_{3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bk%7D%3D%5Cdfrac%7B1%7D%7Bk_%7B2%7D%7D%2B%5Cdfrac%7B1%7D%7Bk_%7B3%7D%7D)
![k=\dfrac{k_{2}k_{3}}{k_{2}+k_{3}}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7Bk_%7B2%7Dk_%7B3%7D%7D%7Bk_%7B2%7D%2Bk_%7B3%7D%7D)
Put the value into the formula
![k=\dfrac{30\times15}{30+15}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B30%5Ctimes15%7D%7B30%2B15%7D)
![k=10\ N/m](https://tex.z-dn.net/?f=k%3D10%5C%20N%2Fm)
k and
is in parallel
We need to calculate the k'
Using formula for parallel
![k'=k+k_{4}](https://tex.z-dn.net/?f=k%27%3Dk%2Bk_%7B4%7D)
Put the value into the formula
![k'=10+20](https://tex.z-dn.net/?f=k%27%3D10%2B20)
![k'=30\ N/m](https://tex.z-dn.net/?f=k%27%3D30%5C%20N%2Fm)
,k' and
is in series
We need to calculate the equivalent stiffness of the spring
Using formula for series
![k_{eq}=\dfrac{1}{k_{1}}+\dfrac{1}{k'}+\dfrac{1}{k_{5}}](https://tex.z-dn.net/?f=k_%7Beq%7D%3D%5Cdfrac%7B1%7D%7Bk_%7B1%7D%7D%2B%5Cdfrac%7B1%7D%7Bk%27%7D%2B%5Cdfrac%7B1%7D%7Bk_%7B5%7D%7D)
Put the value into the formula
![k_{eq}=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{35}](https://tex.z-dn.net/?f=k_%7Beq%7D%3D%5Cdfrac%7B1%7D%7B20%7D%2B%5Cdfrac%7B1%7D%7B30%7D%2B%5Cdfrac%7B1%7D%7B35%7D)
![k_{eq}=8.93\ N/m](https://tex.z-dn.net/?f=k_%7Beq%7D%3D8.93%5C%20N%2Fm)
Hence, The equivalent stiffness of the string is 8.93 N/m.
What do we know that might help here ?
-- Temperature of a gas is actually the average kinetic energy of its molecules.
-- When something moves faster, its kinetic energy increases.
Knowing just these little factoids, we realize that as a gas gets hotter, the average speed of its molecules increases.
That's exactly what Graph #1 shows.
How about the other graphs ?
-- Graph #3 says that as the temperature goes up, the molecules' speed DEcreases. That can't be right.
-- Graph #4 says that as the temperature goes up, the molecules' speed doesn't change at all. That can't be right.
-- Graph #2 says that after the gas reaches some temperature and you heat it hotter than that, the speed of the molecules starts going DOWN. That can't be right.
--
chromatic aberration problem do refractor telescopes have that reflectors don't
<u>Explanation:</u>
Chromatic aberration is a phenom in which light rays crossing through a lens focus at various points, depending on their wavelength. Chromatic aberration is a dilemma in which lens or refracting, telescopes undergo from. The various image distances for the respective colors affect various image sizes for them.
This involves the creation of disturbing color fringes in the image. Chromatic aberration can be pretty well adjusted by the use of an achromatic doublet. Here, a positive biconvex lens is coupled with a negative lens placed backward with greater dispersion. Thus partly compensates for the chromatic aberration.