The formula for sulfur dichloride is SCl2
Answer:
The spring stretched by x = 13.7 cm
Explanation:
Given data
Mass = 3 kg
k = 120 ![\frac{N}{m}](https://tex.z-dn.net/?f=%5Cfrac%7BN%7D%7Bm%7D)
Angle
= 34°
From the free body diagram
Force acting on the box = mg sin![\theta](https://tex.z-dn.net/?f=%5Ctheta)
⇒ F = 3 × 9.81 × ![\sin34](https://tex.z-dn.net/?f=%5Csin34)
⇒ F = 16.45 N ------- (1)
Since box is attached with the spring so a spring force also acts on the box.
= k x
= 120
-------- (2)
The net force acting on the body is given by
Since acceleration of the box is zero so
![F_{net} = 0](https://tex.z-dn.net/?f=F_%7Bnet%7D%20%3D%200)
![F - F_{sp} = 0](https://tex.z-dn.net/?f=F%20-%20F_%7Bsp%7D%20%3D%200)
![F = F_{sp}](https://tex.z-dn.net/?f=F%20%3D%20F_%7Bsp%7D)
Put the values from equation (1) & (2) we get
16.45 = 120![x](https://tex.z-dn.net/?f=x)
x = 0.137 m
x = 13.7 cm
Therefore the spring stretched by x = 13.7 cm
The right answer is
all of the above
good luck
Answer:
14869817.395 m
Explanation:
=22 microarcsecond
λ = Wavelength = 1.3 mm
Converting to radians we get
![22\times 10^{-6}\frac{\pi}{180\times 3600}\ radians](https://tex.z-dn.net/?f=22%5Ctimes%2010%5E%7B-6%7D%5Cfrac%7B%5Cpi%7D%7B180%5Ctimes%203600%7D%5C%20radians)
From Rayleigh Criterion
![\theta=1.22\frac{\lambda}{D}\\\Rightarrow D=1.22\frac{\lambda}{\theta}\\\Rightarrow D=1.22\frac{1.3\times 10^{-3}}{22\times 10^{-6}\frac{\pi}{180\times 3600}}\\\Rightarrow D=14869817.395\ m](https://tex.z-dn.net/?f=%5Ctheta%3D1.22%5Cfrac%7B%5Clambda%7D%7BD%7D%5C%5C%5CRightarrow%20D%3D1.22%5Cfrac%7B%5Clambda%7D%7B%5Ctheta%7D%5C%5C%5CRightarrow%20D%3D1.22%5Cfrac%7B1.3%5Ctimes%2010%5E%7B-3%7D%7D%7B22%5Ctimes%2010%5E%7B-6%7D%5Cfrac%7B%5Cpi%7D%7B180%5Ctimes%203600%7D%7D%5C%5C%5CRightarrow%20D%3D14869817.395%5C%20m)
Diameter of the effective primary objective is 14869817.395 m
It is not possible to build one telescope with a diameter of 14869817.395 m. But, we need this type of telescope. So, astronomers use an array of radio telescopes to achieve a virtual diameter in order to observe objects that are the size of supermassive black hole's event horizon.