Answer:
Part a)
Part B)
Part C)
Explanation:
Part A)
As we know that ball is hanging from the top and its angle with the vertical is 20 degree
so we will have
Part B)
Here we can use energy theorem to find the distance that it will move
Part C)
At terminal speed condition we know that
Explanation:
<u>Photons have momentum</u>, this was proved by he American physicist Arthur H. Compton after his experiments related to the <u>scattering of photons from electrons</u> (Compton Effect or Compton Shift). In addition, energy and momentum are conserved in the process.
In this context, the Compton Shift in wavelength when the photons are scattered is given by the following equation:
(1)
Where:
is a constant whose value is given by
, being
the Planck constant,
the mass of the electron and
the speed of light in vacuum.
the angle between incident phhoton and the scatered photon.
We are told the scattered X-rays (photons) are detected at :
(2)
(3)
Now, the initial energy of the photon is given by:
(4)
From this equation (4) we can find the value of :
(5)
(6)
Knowing the value of and
, let's find
:
Then:
(7)
(8)
Knowing the wavelength of the scattered photon , we can find its energy
:
(9)
(10) This is the energy of the scattered photon
So, if we want to know the energy of the recoiling electron , we have to calculate all the energy lost by the photon, which is:
(11)
Finally we obtain the energy of the recoiling electron: