A projectile is launched at an angle into the air at velocity v and angle θ. Determine its vertical acceleration.
2 answers:
When you're dealing with projectile problems, you have two dimensions: an x (horizontal) dimension and a y (vertical) dimension. The only force that will be acting upon a projectile in the air is the force of gravity, which points down in the y/vertical dimension.
Gravity causes a downward vertical acceleration of
.
The velocity and angle do not affect the vertical acceleration.
Gravity causes a downward vertical acceleration of
The velocity and angle do not affect the vertical acceleration.
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We begin by noting that the angle of incidence is the one that's taken with respect to the normal to the surface in question. In this case the angle of incidence is 30. The material is Flint Glass according to the original question. The refractive indez of air n1=1, the refractive index of red in flint glass is nred=1.57, finally for violet in the glass medium is nviolet=1.60. Snell's Law dictates:
Where
differs for each wavelenght, that means violet and red will have different refractive indices in the glass.
In the second figure provided details are given on which are the angles in question,
is the distance between both rays.
At what distance d from the incidence normal will the beams land at the bottom?
For violet we have:
For red we have:
We finally have:
Where
In the second figure provided details are given on which are the angles in question,
At what distance d from the incidence normal will the beams land at the bottom?
For violet we have:
For red we have:
We finally have: