C. 4 N is the answer if not then i be dumb!!!
Answer:
100/10 = 10 , 10 × 10 = 100÷20 = 5
I'm pretty sure its wrong
Explanation:
It is given that,
Frequency of the laser light, ![f=4.2\times 10^{14}\ Hz](https://tex.z-dn.net/?f=f%3D4.2%5Ctimes%2010%5E%7B14%7D%5C%20Hz)
Time,
(a) Let
is the wavelength of this light. It can be calculated as :
![\lambda=\dfrac{c}{f}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bc%7D%7Bf%7D)
![\lambda=\dfrac{3\times 10^8}{4.2\times 10^{14}}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B3%5Ctimes%2010%5E8%7D%7B4.2%5Ctimes%2010%5E%7B14%7D%7D)
![\lambda=7.14\times 10^{-7}\ m](https://tex.z-dn.net/?f=%5Clambda%3D7.14%5Ctimes%2010%5E%7B-7%7D%5C%20m)
or
![\lambda=714\ nm](https://tex.z-dn.net/?f=%5Clambda%3D714%5C%20nm)
(b) Let n is the number of the wavelengths in one pulse. It can be calculated as :
![n=f\times t](https://tex.z-dn.net/?f=n%3Df%5Ctimes%20t)
![n=4.2\times 10^{14}\times 3.2\times 10^{-11}](https://tex.z-dn.net/?f=n%3D4.2%5Ctimes%2010%5E%7B14%7D%5Ctimes%203.2%5Ctimes%2010%5E%7B-11%7D)
n = 13440
Hence, this is the required solution.
<span>Answer:
So this involves right triangles. The height is always 100. Let the horizontal be x and the length of string be z.
So we have x2 + 1002 = z2. Now take its derivative in terms of time to get
2x(dx/dt) = 2z(dz/dt)
So at your specific moment z = 200, x = 100âš3 and dx/dt = +8
substituting, that makes dz/dt = 800âš3 / 200 or 4âš3.
Part 2
sin a = 100/z = 100 z-1 . Now take the derivative in terms of t to get
cos a (da./dt) = -100/ z2 (dz/dt)
So we know z = 200, which makes this a 30-60-90 triangle, therefore a=30 degrees or π/6 radians.
Substitute to get
cos (Ď€/6)(da/dt) = (-100/ 40000)(4âš3)
âš3 / 2 (da/dt) = -âš3 / 100
da/dt = -1/50 radians</span>
1. Vpa = 180m/s. @ 0 deg.
Vag = 40m/s @ 120 deg,CCW.
<span>
Vpg = Vpa + Vag,
Vpg = (180 + 40cos120) + i40sin120,
Vpg = 160 + i34.64,
Vpg=sqrt((160)^2 + (34.64)^2)=163.7m/s.
</span>
<span>2. tanA = Y / X = 34.64 / 160 = 0.2165,
A = 12.2 deg,CCW. = 12.2deg. North of
East. </span>
3. 1 hr = 3600s. <span>d = Vt = 163.7m/s * 3600s = 589,320m.
hope this helps</span>