Answer:
1) Total internal reflection
2) Snell's law
Explanation:
As already mentioned in the question, on way of determining the refractive index is to use the idea of total internal reflection. In that case, we measure the critical angle. This is than angle of incidence in the material, for which the angle of refraction is 90°.
n=1/sinC
Alternatively, we could use Snell's law. In this case, we measure the angles of incidence and refraction.
Refractive index= sini/sinr
Answer:
(A) = 3.57 m
Explanation:
from the question we are given the following:
diameter (d) = 3.2 m
mass (m) == 42 kg
angular speed (ω) = 4.27 rad/s
from the conservation of energy
mgh = 0.5 mv^{2} + 0.5Iω^{2} ...equation 1
where
Inertia (I) = 0.5mr^{2}
ω = \frac{v}{r}
equation 1 now becomes
mgh = 0.5 mv^{2} + 0.5(0.5mr^{2})(\frac{v}{r})^{2}
gh = 0.5 v^{2} + 0.5(0.5)(v)^{2}
4gh = 2v^{2} + v^{2}
h = 3v^{2} ÷ 4 g .... equation 2
from ω = \frac{v}{r}
v = ωr = 4.27 x (3.2 ÷ 2)
v = 6.8 m/s
now substituting the value of v into equation 2
h = 3v^{2} ÷ 4 g
h = 3 x (6.8)^{2} ÷ (4 x 9.8)
h = 3.57 m
Answer:
Explanation:
Given that,
Mass m = 2kg
Initial Velocity Vi = 3m/s
Force applied. = 4N
Distance cause by the force applied d = 5m
a. Work done by the force applied?
Work done by force applied can be determined by
W = F×d•Cosx
Where x is direction is the force and displacement
The force and displacement are in the same direction, then, x =0°
W = F×d•Cosx
W = 4×5Cos0
W = 20J.
b. Final velocity
The change in kinetic energy is equal to work done
∆K.E = W
½mVf² - ½mVi² = W
½mVf² = ½mVi² + W
½ × 2 Vf² = ½ × 2 × 3² + 20
Vf² = 9+20
Vf² = 29
Vf = √29
Vf = 5.39m/s
The final velocity is 5.39m/s
This question involves the concepts of the equations of motion both in the horizontal motion and the vertical motion.
The rock hits "30.91 m" away from the base of the building.
First, we will calculate the time taken by the rock to reach the ground by applying the second equation of motion in vertical motion:
where,
h = height of the building = 30 m
vi = initial vertical speed = 0 m/s
t = time = ?
g = acceleration due to gravity = 9.81 m/s²
Therefore,
t = 2.47 s
Now, we will calculate the horizontal distance by analyzing horizontal motion. Ignoring the air friction, the horizontal motion will be uniform:
where,
s = horizontal distance = ?
v = horizontal speed = 12.5 m/s
Therefore,
<u>s = 30.91 m</u>
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Learn more about equations of motion here:
brainly.com/question/5955789?referrer=searchResults
It depends.. it might have to due with environmental changes.