Answer:
Value of angle between vector a and b is .
Explanation:
Vectors a and b have scalar product 6.00
Let be the angle between a and b.
ab cos = 6 ...(1)
Vectors a and b have magnitude of vector product 9.00
ab sin = 9 ...(2)
Dividing equation (2) by (1) we get
tan = 1.5
=
Thus, value of angle between vector a and b is .
Answer:
a) n2 = 1.55
b) 408.25 nm
c) 4.74*10^14 Hz
d) 1.93*10^8 m/s
Explanation:
a) To find the index of refraction of the syrup solution you use the Snell's law:
(1)
n1: index of refraction of air
n2: index of syrup solution
angle1: incidence angle
angle2: refraction angle
You replace the values of the parameter in (1) and calculate n2:
b) To fond the wavelength in the solution you use:
c) The frequency of the wave in the solution is:
d) The speed in the solution is given by:
Explanation:
It is given that,
Speed of the sports car, v = 85 mph = 37.99 m/s
The radius of curvature, r = 525 m
Let is the normal weight and
is the apparent weight of the person. Its apparent weight is given by :
So,
or
Hence, this is the required solution.