Describe how a volcano is formed at a Continental Rift. Be sure to include, in your description, what is occurring at the plate
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A) Order of the first laser: 3, order of the second laser: 2
B) The overlap occurs at an angle of
Explanation:
A)
The formula that gives the position of the maxima (bright fringes) for a diffraction grating is
where
d is spacing between the lines in the grating
is the angle of the maximum
m is the order of diffraction
is the wavelength of the light
For laser 1,
For laser 2,
where
Since the position of the maxima in the two cases overlaps, then the term on the left is the same for the two cases, therefore we can write:
Therefore:
B)
In order to find the angle at which the overlap occurs, we use the 1st laser situation:
where:
N = 450 lines/mm = 450,000 lines/m is the number of lines per unit length, so the spacing between the lines is
is the order of the maximum
is the wavelength of the laser light
Solving for , we find the angle of the maximum:
So the angle is
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A) The change in internal chemical energy is
B) The time needed is 1 minute
Explanation:
First of all, we start by calculating the power output of you and the bike, given by:
where
F = 80 N is the force that must be applied in order to overcome friction and travel at constant speed
v = 8.0 m/s is the velocity
Substituting,
The energy output is related to the power by the equation
where:
P = 640 W is the power output
E is the energy output
is the time elapsed
Solving for E,
Since the body is 10% efficient at converting chemical energy into mechanical work (which is the output energy), this means that the change in internal chemical energy is given by
B)
From the previous part, we found that in a time of
t = 30 min
the amount of internal chemical energy converted is
Here we want to find the time t' needed to convert an amount of chemical energy of
So we can setup the following proportion:
And solving for t',
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