Answer:
A) R = (200 i ^ + 100 j ^ + 30k ^) m
, B) L = 223.61 m
, C) R = 225.61 m
Explanation:
Part A
This is a vector summing exercise, let's take a Reference System where the z axis corresponds to the height (flights), the x axis is the East - West and the y axis corresponds to the North - South.
Let's write the displacements
Descending from the apartment
10 flights of 3 m each, the total descent is 30 m
Z = 30 k ^ m
Offset at street level
L1 = 0.2 i ^ km
L2 = 0.1 j ^ km
Let's reduce everything to the SI system
L1 = 0.2 * 1000 = 200 i ^ m
L2 = 100 j ^ m
The distance traveled is
R = (200 i ^ + 100 j ^ + 30k ^) m
Part B
The horizontal distance traveled can be found with the Pythagorean theorem for the coordinates in the plane
L² = x² + y²
L = √ (200² + 100²)
L = 223.61 m
Part C
The magnitude of travel, let's use the Pythagorean theorem for the sum
R² = x² + y² + z²
R = √ (30² + 200² + 100²)
R = 225.61 m
Relationship between alleles of a single gene, the effect on a phenotype of one allele masks the contribution to the second one at the same locus.
I hope this helps! :)
Answer:
Correct option is C it decreases by a factor of 2
Answer:
C. It speeds up, and the angle increases
Explanation:
We can answer by using the Snell's law:
where
are the refractive index of the first and second medium
is the angle of incidence (measured between the incident ray and the normal to the surface)
is the angle of refraction (measured between the refracted ray and the normal to the surface)
In this problem, light moves into a medium that has lower index of refraction, so
We can rewrite Snell's law as
and since
this means that
which implies
so, the angle increases.
Also, the speed of light in a medium is given by
where c is the speed of light and v the refractive index: we see that the speed is inversely proportional to n, therefore the lower the index of refraction, the higher the speed. So, in this problem, the light will speed up, since it moves into a medium with lower index of refraction.
Answer:A
Explanation:
Since the bucket of water is constantly in motion it implies a force must be acting on it which allows it to change its Position constantly.
A constant gravity Force must be acting on water . In addition to gravity force a centripetal force must be acting on the water inside the bucket.
Bucket must move with certain velocity in order to avoid spilling of water.
