Answer:
k = 9.6 x 10^5 N/m or 9.6 kN/m
Explanation:
First, we need to use the expression to calculate the spring constant which is:
w² = k/m
Solving for k:
k = w²*m
To get the angular velocity:
w = 2πf
The problem is giving the linear velocity of the car which is 5.7 m/s. With this we can calculate the frequency of the car:
f = V/x
f = 5.7 / 4.9 = 1.16 Hz
Now the angular velocity:
w = 2π*1.16
w = 7.29 rad/s
Finally, solving for k:
k = (7.29)² * 1800
k = 95,659.38 N/m
In two significant figures it'll ve 9.6 kN/m
Explanation:
It is given that,
Wavelength of x-rays = 2 nm
Plane spacing, d = 0.281 nm
It is assumed to find the scattering angle for second order maxima.
For 2nd order, Bragg's law is given by :
![2d\sin\theta=n\lambda](https://tex.z-dn.net/?f=2d%5Csin%5Ctheta%3Dn%5Clambda)
For second order, n = 2
![\sin\theta=\dfrac{n\lambda}{2d}\\\\\sin\theta=\dfrac{2\times 2\ nm}{2\times 0.28\ nm}\\\\\theta=\sin^{-1}(7.14)](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7Bn%5Clambda%7D%7B2d%7D%5C%5C%5C%5C%5Csin%5Ctheta%3D%5Cdfrac%7B2%5Ctimes%202%5C%20nm%7D%7B2%5Ctimes%200.28%5C%20nm%7D%5C%5C%5C%5C%5Ctheta%3D%5Csin%5E%7B-1%7D%287.14%29)
Here, θ is not defined. Also, the wavelength of x-rays is more than the plane spacing. It means that it cannot produce any diffraction maximum.
C : perpendicular
The component of a vector are perpendicular
Explanation:
As we know that relation between energy and wavelength is as follows.
E = ![\frac{hc}{\lambda}](https://tex.z-dn.net/?f=%5Cfrac%7Bhc%7D%7B%5Clambda%7D)
This means that energy is inversely proportional to wavelength. So, more is the energy of an electromagnetic radiation less will be its wavelength.
Also, f = ![\frac{c}{\lambda}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B%5Clambda%7D)
Hence, less will be the wavelength more will frequency of a radiation.
Gamma rays are the rays that have highest energy, small wavelength and highest frequency.
Thus, we can conclude that gamma rays are the electromagnetic radiation which has the highest frequency.
2pi x (3/4) = 3 pi /2
as we knw that
1: 45 min --> 105 s
<span>so the</span>
<span>rate = d/t = 3pi / 2 / 105 s = pi /70 rad/s
hope it helps</span>