A student is trying to calculate the density of an ice cream cone. She already knows the mass, but she needs to determine the vo
2 answers:
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Answer:
1
When second polarizer is removed the intensity after it passes through the stack is
2 When third polarizer is removed the intensity after it passes through the stack is
Explanation:
From the question we are told that
The angle of the second polarizing to the first is
The angle of the third polarizing to the first is
The unpolarized light after it pass through the polarizing stack
Let the initial intensity of the beam of light before polarization be
Generally when the unpolarized light passes through the first polarizing filter the intensity of light that emerges is mathematically evaluated as
Now according to Malus’ law the intensity of light that would emerge from the second polarizing filter is mathematically represented as
The intensity of light that will emerge from the third filter is mathematically represented as
making the subject of the formula
Note that as
is the last emerging intensity of light after it has pass through the polarizing stack
Substituting values
When the second is removed the third polarizer becomes the second and final polarizer so the intensity of light would be mathematically evaluated as
is the intensity of the light emerging from the stack
substituting values
When the third polarizer is removed the second polarizer becomes the
the final polarizer and the intensity of light emerging from the stack would be
is the intensity of the light emerging from the stack
Substituting values
Answer:
approximately 30 degrees
Explanation:
If it takes the cannonball 2 seconds to reach the maximum height, we can use the analysis of the vertical component of the velocity and the fact that the acceleration of gravity is the one acting opposite to this initial vertical component of the velocity. We know as well that at the top of the trajectory, the vertical component of the velocity is zero, and then the movement starts going down in it trajectory. So, the final velocity for the first part of the ascending movement is zero, giving us the following equation for the velocity under an accelerated movement (with acceleration of gravity "g" acting):
By knowing the vertical component of the initial velocity (19.6 m/s), and the actual magnitude of the total initial velocity (40 m/s), we can calculate what angle was the initial velocity vector forming above the horizontal. We use for such the fact that the sine of the angle relates the opposite side of a right angle triangle with the hypotenuse, and solve for the angle using the arcsin function:
which tells us that the closer answer shown is