Answer:
370.6 nm
Explanation:
wavelength in vacuum = 494 nm
refractive index of water with respect to air = 1.333
Let the wavelength of light in water is λ.
The frequency of the light remains same but the speed and the wavelength is changed as the light passes from one medium to another.
By using the definition of refractive index
where, n be the refractive index of water with respect to air
By substituting the values, we get
λ = 370.6 nm
Thus, the wavelength of light in water is 370.6 nm.
Answer:
461 km/h
Explanation:
In order to solve this problem we must first sketch a drawing of what the situation looks like so we can better visualize it. (See attached picture).
We have two situations there, the first one is Mustapha's car that is traveling at a constant speed of 231km/hr.
The second situation is the police that is accelerating from rest until he reaches Mustapha. (We are going to suppose the acceleration is constant and that he will not stop accelerating until he reaches Mustapha). He has an acceleration of 15m/.
We want to find what the final velocity of the police is at the time he reaches Mustapha. From this we can imply that the displacement x will be the same for both particles.
So let's model the first situation.
The displacement of Mustapha can be found by using the following equation:
when solving the equation for the displacement x we get that it will be:
Now let's model the displacement of the cop. Since the cop has a constant acceleration, we can model his displacement with the following formula.
Since the initial velocity of the cop is zero, we can get rid of that part of the equation leaving us with:
We can now set both equations equal to each other so we get:
When solving this for t, we get that:
(let's call this equation 1)
Now, we know the cop has constant acceleration, so we can model it with the following formula too:
since the initial velocity of the cop is zero, we can get rid of that here too, so we get the following formula:
when solving for the final velocity, we get that:
(let's call this equation 2)
when substituting equation 1 into equation 2 we get:
we can now cancel a leaving us with:
This tells us that the final velocity of the cop will not depend on his acceleration. (This is only if the acceleration is constant all the time) So we get that the final velocity of the cop is:
so
which is our answer.
Answer:
Fm= 91.88 N
Explanation:
Pascal principle
The pressure acting on one side is transmitted to all the molecules of the liquid because the liquid is incompressible.
The pressure is definited like this:
P=F/A
Where:
P: Pressure in pascals (Pa)
F: Force acting in the area (N)
A : Area where the force acts (m²)
Pascal principle
Pm=Ps
Fm/ Am= Fs/ As Formula (1)
Where :
Pm : Pressure on the master piston
Ps : Pressure on the slave piston
Fm : Force on the master piston (N)
Fs: Force on the slave piston ((N)
Am: master piston area (m²)
As: slave piston area (m²)
Area Formula (A)
A= π*R²
R : piston radius
Calculation of the weight of the car (W)
W= m*g= 2400 kg*9.8m/s²= 23520 N
W = Fs
Data
Fs = 23520 N
Dm = 1.5 cm
Ds = 24 cm
Rm = 0.75 cm
Rs = 12 cm
Am = π*Rm² = π*(0.75)²
As = π*Rs² = π*(12)²
Force exerted on the master cylinder
We replace data in the formula (1)
Fm= 91.88 N