on aircraft carriers, catapults are used to accelerate jet air craft to flight speeds in a short distance. One such catapult tak
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Answer:
Explanation:
For this problem, we just need to remember conservation of momentum, as there are no external forces in the horizontal direction:
where the suffix i means initial, and the suffix f means final.
The initial momentum will be:
as the second puck is initially at rest:
Using the unit vector pointing in the original line of motion:
So:
Knowing the magnitude and directions relative to the x axis, we can find Cartesian representation of the vectors using the formula
So, our velocity vectors will be:
We got
So, we got the equations:
and
.
From the last one, we get:
and, for the first one:
so:
and
Answer:
2.07 pm
Explanation:
The problem given here is the very well known Compton effect which is expressed as
here, is the initial photon wavelength,
is the scattered photon wavelength, h is he Planck's constant,
is the free electron mass, c is the velocity of light,
is the angle of scattering.
Given that, the scattering angle is,
Putting the respective values, we get
Here, the photon's incident wavelength is
Therefore,
From the conservation of momentum,
where, is the initial photon momentum,
is the final photon momentum and
is the scattered electron momentum.
Expanding the vector sum, we get
Now expressing the momentum in terms of De-Broglie wavelength
and putting it in the above equation we get,
Therefore,
This is the de Broglie wavelength of the electron after scattering.