A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.540 and
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Answer:
v =
the speed in the two planes will be the same since it does not depend on the angle of the same
Explanation:
In this exercise we are told that the two inclined planes have no friction force, so we can apply the conservation of energy for each one, we will assume that the initial height in the two planes is the same
starting point. Highest part of each plane
Em₀ = U = m g h
final point. Lowest part of each plane
= K = ½ m v²
as there is no friction, the mechanical energy is preserved
Em₀ = Em_{f}
mg h = ½ m v²
v =
As we can see, the speed in the two planes will be the same since it does not depend on the angle of the same
Recall that
where and
are the lion's initial and final vertical velocities,
is its acceleration, and
is the vertical displacement.
At its maximum height, the lion has 0 vertical velocity, so we have
where <em>g</em> is the acceleration due to gravity, 9.80 m/s², and we take the starting position of the lion on the ground to be the origin so that .
Let <em>v</em> denote the initial speed of the jump. Then