The speed of a transverse wave( v) = 117.03 m/s
The formula we can use in this case would be:
v = sqrt (T / (m / l))
Where,
v = is the velocity of the transverse wave = unknown (?)
T = is the tension on the rope = 380 N
m = is the mass of the rope = 86.0 g = 0.086 kg
l = is the length of the rope = 3.1 m
Substituting the given values into the equation to search for the speed v:
v = sqrt (380 N/(0.086 kg /3.1 m))
v = sqrt (380 * 3.1/ 0.086)
v = sqrt (13,697.67)
v = 117.03 m/s
speed of a transverse wave( v) = 117.03 m/s
Learn more about transverse wave here:
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Answer
Given,
refractive index of film, n = 1.6
refractive index of air, n' = 1
angle of incidence, i = 35°
angle of refraction, r = ?
Using Snell's law
n' sin i = n sin r
1 x sin 35° = 1.6 x sin r
r = 21°
Angle of refraction is equal to 21°.
Now,
distance at which refractive angle comes out
d = 2.5 mm
α be the angle with horizontal surface and incident ray.
α = 90°-21° = 69°
t be the thickness of the film.
So,


t = 2.26 mm
Hence, the thickness of the film is equal to 2.26 mm.
We can solve the problem by using Snell's law, which states

where

is the refractive index of the first medium

is the angle of incidence

is the refractive index of the second medium

is the angle of refraction
In our problem,

(refractive index of air),

and

(refractive index of carbon disulfide), therefore we can re-arrange the previous equation to calculate the angle of refraction:

From which we find
Answer:
See the answers below.
Explanation:
Momentum is defined as the product of mass by velocity, and can be calculated by means of the following expression.

where:
P = Momentum [kg*m/s]
m = mass = 10 [g] = 0.01 [kg]
v = velocity = 400 [m/s]
i)
![P=0.01*400\\P=4[kg*m/s]](https://tex.z-dn.net/?f=P%3D0.01%2A400%5C%5CP%3D4%5Bkg%2Am%2Fs%5D)
ii)
The momentum of the gun is equal to zero, because it does not move before being fired, the weapon only moves after having fired the weapon.

iii)
Since the momentum is conserved before and after the shot, the same momentum given to the bullet is equal to the momentum received by the gun.

![v_{recoil}=P/m\\v_{recoil}= 4/2\\v_{recoil}=2[m/s]](https://tex.z-dn.net/?f=v_%7Brecoil%7D%3DP%2Fm%5C%5Cv_%7Brecoil%7D%3D%204%2F2%5C%5Cv_%7Brecoil%7D%3D2%5Bm%2Fs%5D)
It's false. Mass is a way of measuring how much matter an object contains, where as weight measures how hard gravity is pulling on an object. While on earth, these are typically interchangeable. However, if you were to go to Mars, your mass would stay the same, but the weight will be different. This is because you still contain the same amount of matter, but the gravity's pull will be different because the moon has a different gravitational pull than the earth. Hope this helps!