Answer:
Verified that he oscillations are exactly isosynchronous with frequency ω0 = p g/l, independent of the amplitude.
Explanation:
Starting from the first principle for the derivation and to prove that the oscillations are exactly isosynchronous with frequency ω0 = p g/l, independent of the amplitude. The mathematical manipulations was applied, trigonometric identities was also applied.The steps and explanation are shown in the attachment.
Answer:
The angular momentum of the particle is 58.14 kg m²/s along positive z- axis and is independent of time .
Explanation:
Given that,
Mass = 1.70 kg
Position vector 
We need to calculate the angular velocity
The velocity is the rate of change of the position of the particle.



We need to calculate the angular momentum of the particle
Using formula of angular momentum

Where, p = mv
Put the value of p into the formula

Substitute the value into the formula



Hence, The angular momentum of the particle is 58.14 kg m²/s along positive z- axis and is independent of time .
Answer:
The displacement of the air drop after 3 second is 18.27 m.
Explanation:
Mass of the rain drop = m = 
Weight of the rain drop = W
Duration of time = t = 3 seconds

Drag force on rain drop = 

Motion of the rain drop:

Net force on the rain drop , F= W - D




v = 12.18 m/s
Initial velocity of the rain drop = u = 0 (since, it is starting from rest)
v=u+at (First equation of motion)


(second equation of motion)

s = 18.27 m
The displacement of the air drop after 3 second is 18.27 m.
Answer:
17.85°
Explanation:
To find the angle to the normal in which the light travels in the aqueous fluid you use the Snell's law:

n1: index of refraction of Sophia's cornea = 1.387
n2: index of refraction of aqueous fluid = 1.36
θ1: angle to normal in the first medium = 17.5°
θ2: angle to normal in the second medium
You solve the equation (1) for θ2, next, you replace the values of the rest of the variables:

hence, the angle to normal in the aqueous medium is 17.85°
Answer:
1950cm
Explanation:
You should multiply 1.95 cm by 1000. This will result in the answer.