Answer:
The image distance from right lens is 2.86 cm and image is real.
Explanation:
Given that,
Focal length of left lens = 10 cm
Focal length of right lens = 5 cm
Distance between the lenses d= 15 cm
Object distance = 50 cm
We need to calculate the image distance from left lens
Using formula of lens
![\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7Bf%7D-%5Cdfrac%7B1%7D%7Bu%7D)
Put the value into the formula
![\dfrac{1}{v}=\dfrac{1}{10}-\dfrac{1}{-50}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7B10%7D-%5Cdfrac%7B1%7D%7B-50%7D)
![\dfrac{1}{v}=\dfrac{3}{25}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B3%7D%7B25%7D)
![v=8.33\ cm](https://tex.z-dn.net/?f=v%3D8.33%5C%20cm)
We need to calculate the image distance from right lens
The object distance will be
![u = 15-8.33 = 6.67\ cm](https://tex.z-dn.net/?f=u%20%3D%2015-8.33%20%3D%206.67%5C%20cm)
Using formula of lens
![\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7Bf%7D-%5Cdfrac%7B1%7D%7Bu%7D)
Put the value into the formula
![\dfrac{1}{v}=\dfrac{1}{5}-\dfrac{1}{-6.67}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7B5%7D-%5Cdfrac%7B1%7D%7B-6.67%7D)
![\dfrac{1}{v}=\dfrac{1167}{3335}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1167%7D%7B3335%7D)
![v=2.86\ cm](https://tex.z-dn.net/?f=v%3D2.86%5C%20cm)
The image is real.
Hence, The image distance from right lens is 2.86 cm and image is real.
Answer:
C
Explanation:
The kicker exerts more force of the football which is why the football moves when its kicked.
Answer:
1.332 N
Explanation:
Net Force = Mass x Acceleration
1.2 x 1.11 = 1.332 N
I'm so sorry if I'm wrong.
Answer:
m = 9795.9 kg
Explanation:
v = 35 m/s
KE = 6,000,000 J
Plug those values into the following equation:
![KE = \frac{1}{2} mv^{2}](https://tex.z-dn.net/?f=KE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20mv%5E%7B2%7D)
6,000,000 J = (1/2)(35^2)m
---> m = 9795.9 kg
Answer:
![4.125\times 10^{-11}\ W/m^2](https://tex.z-dn.net/?f=4.125%5Ctimes%2010%5E%7B-11%7D%5C%20W%2Fm%5E2)
Explanation:
= Intensity of unpolarized light = ![1.1\times 10^{-10}\ W/m^2](https://tex.z-dn.net/?f=1.1%5Ctimes%2010%5E%7B-10%7D%5C%20W%2Fm%5E2)
= Angle of the filter = ![30^{\circ}](https://tex.z-dn.net/?f=30%5E%7B%5Ccirc%7D)
Intensity of light is given by
![I=\dfrac{I_0}{2}cos^2\theta\\\Rightarrow I=\dfrac{1.1\times 10^{-10}}{2}cos^230\\\Rightarrow I=4.125\times 10^{-11}\ W/m^2](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7BI_0%7D%7B2%7Dcos%5E2%5Ctheta%5C%5C%5CRightarrow%20I%3D%5Cdfrac%7B1.1%5Ctimes%2010%5E%7B-10%7D%7D%7B2%7Dcos%5E230%5C%5C%5CRightarrow%20I%3D4.125%5Ctimes%2010%5E%7B-11%7D%5C%20W%2Fm%5E2)
The intensity of light detected by the camera is ![4.125\times 10^{-11}\ W/m^2](https://tex.z-dn.net/?f=4.125%5Ctimes%2010%5E%7B-11%7D%5C%20W%2Fm%5E2)