A ball is thrown horizontally at a speed of 16 m/s from the top of a cliff. If the ball hits the ground 6.0 s later, approximate
1 answer:
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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
Learn more about diffraction:
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Answer:
The car stops in 7.78s and does not spare the child.
Explanation:
In order to know if the car stops before the distance to the child, you take into account the following equation:
(1)
vo: initial speed of the car = 45km/h
a: deceleration of the car = 2 m/s^2
t: time
xo: initial distance to the child = 25m
x: final distance to the child = 0m
It is necessary that the solution of the equation (1) for time t are real.
You first convert the initial speed to m/s, then replace the values of the parameters and solve the quadratic polynomial for t:
You take the first value t1 because it has physical meaning.
The solution for t is real, then, the car stops in 7.78s and does not spare the child.