Answer:
32.1
Explanation:
NOTE: You did not state the angle of incidence, and thus, I will be using 45° as my angle of incidence, all you need to do is replace it with your own value if it's different.
To solve this question, we are going to be using Snell's Law.
Snell's law describes the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.
Snell's law is mathematically given as
sin(A1)/sin(A2) = n2/n1, where
n1 = incidence index
n2 = refracted index
A1 = incidence angle
A2 = refracted angle
The refraction index of oil is 1.15, and that of water is 1.33, so
if we take oil first,
sin A2 = (n1.sinA1)/n2
sin A2 = (1 * sin 45)/1.15
sin A2 = 0.7071/1.15
sin A2 = 0.6149
A2 = sin^-1 0.6149
A2 = 37.9°
Then
sin A3 = (1.15 * sin 37.9) / 1.33
sin A3 = (0.6149 * 1.15) / 1.33
sin A3 = 0.7071 / 1.33
sin A3 = 0.5317
A3 = sin^-1 0.5317
A3 = 32.1
Explanation:
Below is an attachment containing the solution.
Explanation:
distance covered in the first part of journey : 120×14 = 1680km
distance covered in second part of journey :
90×10 = 900 km
total distance traveled : 1680+900 = 2580km.
total time taken to complete the journey : 14+10= 24 hrs.
therefore, the average speed of the journey = 2580km/24hr = 107.5 km/h.
hope this helps you.
Remark
Always write down your givens and what you want to find. The formula you use for such questions will suggest itself if you do this.
Givens
a = 3.0 m/s^2
vi = 0 I presume that's that the question assumes.
vf = 33 m/s
You want d
Formula
vf^2 = vi^2 + 2*a*d
Solution
33^2 = 0^2 + 2 * 3 * d
1089 = 6*d
d = 1089/6
d = 181.5 meters
